To find the length of the diagonal of a square, we can use the relationship that the diagonal \( d \) is given by:
\[ d = s \cdot \sqrt{2} \]
where \( s \) is the side length of the square. In this case, the side length \( s \) is given as 650 feet, and we will use the approximation \( \sqrt{2} \approx 1.4 \).
Substituting the values into the formula for the diagonal, we have:
\[ d = 650 \cdot 1.4 \]
Calculating this:
\[ d = 650 \cdot 1.4 = 910 \text{ feet} \]
Now, we need to convert the diagonal length from feet to inches. We know that there are 12 inches in a foot, so we can do the conversion as follows:
\[ d_{\text{inches}} = d_{\text{feet}} \cdot 12 = 910 \cdot 12 \]
Calculating this gives:
\[ d_{\text{inches}} = 10920 \text{ inches} \]
Thus, the approximate length from one corner to the opposite corner of the square is:
\[ \boxed{10920} \text{ inches} \]