Finding the Third Proportional to 500,676 and 1,042,788
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Solution
The third proportional to 500,676 and 1,042,788 is: 2,171,877.25
Step by Step Solution
- Step 1: Write the proportion equation
500,676 : 1,042,788 = 1,042,788 : x - Step 2: Convert to fraction form
500,676/1,042,788 = 1,042,788/x - Step 3: Cross multiply
500,676x = 1,042,788 × 1,042,788 - Step 4: Simplify right side
500,676x = 1,087,406,812,944 - Step 5: Solve for x
x = 1,087,406,812,944/500,676 - Step 6: Final answer
x = 2,171,877.25
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.