To express the total gallons of water made use of in the park after adding the new ride, we first need to convert both numbers into scientific notation and then sum them.
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The current total water usage is \(1.9 \times 10^5\) gallons.
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The additional water usage for the new ride is 680,000 gallons. To convert 680,000 to scientific notation:
\[ 680,000 = 6.8 \times 10^5 \]
Now we add these two amounts together:
\[ 1.9 \times 10^5 + 6.8 \times 10^5 \]
Since both numbers are expressed with the same power of 10 (\(10^5\)), we can add the coefficients:
\[ (1.9 + 6.8) \times 10^5 = 8.7 \times 10^5 \]
Thus, the total gallons of water made use of in the park after the new ride is installed is:
\[ \boxed{8.7 \times 10^5} \]
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