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Finding the Third Proportional to 951,600 and 1,389,432

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Solution

The third proportional to 951,600 and 1,389,432 is: 2,028,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,600 : 1,389,432 = 1,389,432 : x
  2. Step 2: Convert to fraction form
    951,600/1,389,432 = 1,389,432/x
  3. Step 3: Cross multiply
    951,600x = 1,389,432 × 1,389,432
  4. Step 4: Simplify right side
    951,600x = 1,930,521,282,624
  5. Step 5: Solve for x
    x = 1,930,521,282,624/951,600
  6. Step 6: Final answer
    x = 2,028,710.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.