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Finding the Third Proportional to 723,432 and 1,571,408

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Solution

The third proportional to 723,432 and 1,571,408 is: 3,413,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,432 : 1,571,408 = 1,571,408 : x
  2. Step 2: Convert to fraction form
    723,432/1,571,408 = 1,571,408/x
  3. Step 3: Cross multiply
    723,432x = 1,571,408 × 1,571,408
  4. Step 4: Simplify right side
    723,432x = 2,469,323,102,464
  5. Step 5: Solve for x
    x = 2,469,323,102,464/723,432
  6. Step 6: Final answer
    x = 3,413,345.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.