In a parallelogram $$ABCD$$, a point $$P$$ on the segment $$AB$$ is taken such that $$\frac{AP}{AB}=\frac{61}{2022}$$ and a point $$Q$$ on the segment $$AD$$ is taken such that $$\frac{AQ}{AD}=\frac{61}{2065}$$. If $$PQ$$ intersects $$AC$$ at $$T$$, find $$\frac{AC}{AT}$$ to the nearest integer.