Alright, let's work through 3344 times 1726 step by step
3344 × 1726 = 1726 × (3344)
+ 1726 × 4 giving us 6904
+ 1726 × 40 yielding 69040
+ 1726 × 300 yielding 517800
+ 1726 × 3000 which equals 5178000

= 5771744
