To calculate \( 781:260 \times 6798 \), we first simplify the ratio \( 781:260 \).
Calculating the fraction:
\[ \frac{781}{260} \approx 3.0077 \]
Now, multiply this by \( 6798 \):
\[ 3.0077 \times 6798 \approx 20463.06 \]
So, \( 781:260 \times 6798 \approx 20463.06 \).
If you need the final answer in fractional form, it's \( \frac{781 \times 6798}{260} \).
Calculating \( 781 \times 6798 = 5,302,038 \), and then dividing by 260:
\[ \frac{5302038}{260} \approx 20463.06 \]
Thus, the final result remains approximately \( 20463.06 \).