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Finding the Third Proportional to 648,325 and 951,467

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Solution

The third proportional to 648,325 and 951,467 is: 1,396,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,325 : 951,467 = 951,467 : x
  2. Step 2: Convert to fraction form
    648,325/951,467 = 951,467/x
  3. Step 3: Cross multiply
    648,325x = 951,467 × 951,467
  4. Step 4: Simplify right side
    648,325x = 905,289,452,089
  5. Step 5: Solve for x
    x = 905,289,452,089/648,325
  6. Step 6: Final answer
    x = 1,396,351.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.