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Finding the Third Proportional to 652,951 and 924,751

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Solution

The third proportional to 652,951 and 924,751 is: 1,309,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,951 : 924,751 = 924,751 : x
  2. Step 2: Convert to fraction form
    652,951/924,751 = 924,751/x
  3. Step 3: Cross multiply
    652,951x = 924,751 × 924,751
  4. Step 4: Simplify right side
    652,951x = 855,164,412,001
  5. Step 5: Solve for x
    x = 855,164,412,001/652,951
  6. Step 6: Final answer
    x = 1,309,691.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.