Finding the Third Proportional to 721,142 and 1,538,805
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Solution
The third proportional to 721,142 and 1,538,805 is: 3,283,570.82
Step by Step Solution
- Step 1: Write the proportion equation
721,142 : 1,538,805 = 1,538,805 : x - Step 2: Convert to fraction form
721,142/1,538,805 = 1,538,805/x - Step 3: Cross multiply
721,142x = 1,538,805 × 1,538,805 - Step 4: Simplify right side
721,142x = 2,367,920,828,025 - Step 5: Solve for x
x = 2,367,920,828,025/721,142 - Step 6: Final answer
x = 3,283,570.82
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.