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Finding the Third Proportional to 840,462.75 and 1,257,724.13

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Solution

The third proportional to 840,462.75 and 1,257,724.13 is: 1,882,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,462.75 : 1,257,724.13 = 1,257,724.13 : x
  2. Step 2: Convert to fraction form
    840,462.75/1,257,724.13 = 1,257,724.13/x
  3. Step 3: Cross multiply
    840,462.75x = 1,257,724.13 × 1,257,724.13
  4. Step 4: Simplify right side
    840,462.75x = 1,581,869,974,607.02
  5. Step 5: Solve for x
    x = 1,581,869,974,607.02/840,462.75
  6. Step 6: Final answer
    x = 1,882,141.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.