Finding the Third Proportional to 512,855 and 1,116,016
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Solution
The third proportional to 512,855 and 1,116,016 is: 2,428,545.52
Step by Step Solution
- Step 1: Write the proportion equation
512,855 : 1,116,016 = 1,116,016 : x - Step 2: Convert to fraction form
512,855/1,116,016 = 1,116,016/x - Step 3: Cross multiply
512,855x = 1,116,016 × 1,116,016 - Step 4: Simplify right side
512,855x = 1,245,491,712,256 - Step 5: Solve for x
x = 1,245,491,712,256/512,855 - Step 6: Final answer
x = 2,428,545.52
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.