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Finding the Third Proportional to 652,962 and 924,769

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Solution

The third proportional to 652,962 and 924,769 is: 1,309,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,962 : 924,769 = 924,769 : x
  2. Step 2: Convert to fraction form
    652,962/924,769 = 924,769/x
  3. Step 3: Cross multiply
    652,962x = 924,769 × 924,769
  4. Step 4: Simplify right side
    652,962x = 855,197,703,361
  5. Step 5: Solve for x
    x = 855,197,703,361/652,962
  6. Step 6: Final answer
    x = 1,309,720.48

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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.