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Finding the Third Proportional to 732,429 and 1,119,753

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Solution

The third proportional to 732,429 and 1,119,753 is: 1,711,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,429 : 1,119,753 = 1,119,753 : x
  2. Step 2: Convert to fraction form
    732,429/1,119,753 = 1,119,753/x
  3. Step 3: Cross multiply
    732,429x = 1,119,753 × 1,119,753
  4. Step 4: Simplify right side
    732,429x = 1,253,846,781,009
  5. Step 5: Solve for x
    x = 1,253,846,781,009/732,429
  6. Step 6: Final answer
    x = 1,711,902.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.