1. Comparing the fractions $x=\frac{111110}{111111}, y=\frac{222221}{222223}, z=\frac{333331}{333334}$, arrange them in ascending order.
1. Consider the numbers

$$
1-x=\frac{1}{111111}, \quad 1-y=\frac{2}{222223}, \quad 1-z=\frac{3}{333334}
$$

and their reciprocals

$$
\frac{1}{1-x}=111111, \quad \frac{1}{1-y}=111111 \frac{1}{2}, \quad \frac{1}{1-z}=111111 \frac{1}{3}
$$

We see that $\frac{1}{1-x}1-z>1-y$. Therefore, $x<z<y$.