2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127644We generalize Dirichlet's diophantine approximation theorem to approximating any real number $α$ by a sum of two rational numbers $\frac{a_1}{q_1} + \frac{a_2}{q_2}$ with denominators $1 \leq q_1, q_2 \leq N$. This turns out to be related to the congruence equation problem $x y \equiv c \pmod q$ with $1 \leq x, y \leq q^{1/2 + ε}$.13 pages, improved results and some changes in the proofsNumber Theory11J04; 11A07; 11L40; 11L07text