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Finding the Third Proportional to 739,432 and 1,513,832

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Solution

The third proportional to 739,432 and 1,513,832 is: 3,099,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,432 : 1,513,832 = 1,513,832 : x
  2. Step 2: Convert to fraction form
    739,432/1,513,832 = 1,513,832/x
  3. Step 3: Cross multiply
    739,432x = 1,513,832 × 1,513,832
  4. Step 4: Simplify right side
    739,432x = 2,291,687,324,224
  5. Step 5: Solve for x
    x = 2,291,687,324,224/739,432
  6. Step 6: Final answer
    x = 3,099,253.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.