This question cannot be answered sensibly. A square mile is a measure of area, with dimensions [L2]. A yard is a measure of distance, with dimensions [L]. The two measure different things and basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.
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3.228305785e-7 mi²
To convert from square yards to square miles, multiply by 3.228E-07.
There are about .836 square meters in a square yard.
There are nine square feet in every square yard.
There are no square feet in a yard (yard is one-dimensional, square foot is two-dimensional). However, there are 9 square feet in a square yard.