To find the diameter of a circle given its circumference, you can use the formula for the circumference of a circle:
\[ C = \pi \times d \]
where \( C \) is the circumference and \( d \) is the diameter. Given that the circumference \( C \) is approximately 7,459 miles and using \( \pi \approx 3.14 \), you can rearrange the formula to solve for the diameter \( d \):
\[ d = \frac{C}{\pi} \]
Substituting the values:
\[ d = \frac{7459}{3.14} \]
Now, performing the division:
\[ d \approx 2377.84 \]
Thus, the diameter rounded to the nearest hundredths place is:
\[ \boxed{2377.84} \text{ miles} \]