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Finding the Third Proportional to 951,984 and 1,982,691

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Solution

The third proportional to 951,984 and 1,982,691 is: 4,129,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,984 : 1,982,691 = 1,982,691 : x
  2. Step 2: Convert to fraction form
    951,984/1,982,691 = 1,982,691/x
  3. Step 3: Cross multiply
    951,984x = 1,982,691 × 1,982,691
  4. Step 4: Simplify right side
    951,984x = 3,931,063,601,481
  5. Step 5: Solve for x
    x = 3,931,063,601,481/951,984
  6. Step 6: Final answer
    x = 4,129,337.89

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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.