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Finding the Third Proportional to 732,141 and 1,342,782

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Solution

The third proportional to 732,141 and 1,342,782 is: 2,462,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,141 : 1,342,782 = 1,342,782 : x
  2. Step 2: Convert to fraction form
    732,141/1,342,782 = 1,342,782/x
  3. Step 3: Cross multiply
    732,141x = 1,342,782 × 1,342,782
  4. Step 4: Simplify right side
    732,141x = 1,803,063,499,524
  5. Step 5: Solve for x
    x = 1,803,063,499,524/732,141
  6. Step 6: Final answer
    x = 2,462,727.12

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.