To find out how many senior lunches the grant can provide, we divide the total grant amount by the cost per lunch:
Given:
- Grant amount = \( 1.925 \times 10^6 \) dollars
- Cost per lunch = \( 2.75 \) dollars
Now, we perform the division:
\[ \text{Number of lunches} = \frac{1.925 \times 10^6}{2.75} \]
Calculating the division:
\[ 1.925 \div 2.75 \approx 0.7 \]
Now, we multiply this result by \( 10^6 \):
\[ 0.7 \times 10^6 \]
So, the number of senior lunches the grant can provide is:
\[ \boxed{0.7 \times 10^6} \]