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Finding the Third Proportional to 726,192 and 1,687,500

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Solution

The third proportional to 726,192 and 1,687,500 is: 3,921,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,192 : 1,687,500 = 1,687,500 : x
  2. Step 2: Convert to fraction form
    726,192/1,687,500 = 1,687,500/x
  3. Step 3: Cross multiply
    726,192x = 1,687,500 × 1,687,500
  4. Step 4: Simplify right side
    726,192x = 2,847,656,250,000
  5. Step 5: Solve for x
    x = 2,847,656,250,000/726,192
  6. Step 6: Final answer
    x = 3,921,354.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.