How do different RPM–MAP settings affect range? For a cruise in constant-speed prop aircraft, you can choose different combinations of the manifold pressure and prop rpm to generate the same amount of power. For example, in order to generate 117 BHP (65% Rated Power) at sea level in the chart above, you can select either the combination of 24.5 for MAP and 2100 for rpm or that of 22.9 for MAP and 2400 for rpm. Here, what's the difference (if any) in selecting different combinations of rmp and MAP to generate the same power? Any benefits using the combination of low rpm and high MAP or vice versa?

This other post answers my original question, yet I have a follow-up question:


How does the combination of low rpm and high MAP extend the flight range?


To my knowledge, whatever combinations are chosen, as long as the combinations generate the same power, the same amount of fuel is consumed. The above chart supports that: The same 10.3 Gal/Hr is flowed into the engine regardless of the combinations in the box. 

For your information, I asked the same question to my instructor, and he told me there's really no difference when it comes to power and fuel efficiency. But I was not persuaded at first, because I thought it was the MAP that controlled power output (BHP), and therefore, the less the MAP, the less fuel required. And a more efficient use of props could supplement this loss of power, resulting in the same thrust power. But the above chart just contradicts my reasoning. According to the chart, it's not the MAP alone but the combination of MAP and rpm that determines the BHP. But if it's the case, I don't understand how the range of flight could be extended by decreasing MAP and increasing rpm.
The advantages of oversquare (MAP > RPM/10) are:


  
  less vibration, noise, heat, and wear
  longer engine life as a result of this
  much less noise emitted from the engine/propeller
  more efficient cylinder charging and better combustion, gives lower fuel consumption if leaned properly
  less power lost to friction inside the engine
  
  
  — Source


Since there are fewer loses to friction and high propeller RPM, the same fuel flow will yield slightly faster flight, and thereby range.



Another article from AVweb that discusses the topic: Why "Over Square" Is Good