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Finding the Third Proportional to 723,408 and 1,571,352

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Solution

The third proportional to 723,408 and 1,571,352 is: 3,413,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,408 : 1,571,352 = 1,571,352 : x
  2. Step 2: Convert to fraction form
    723,408/1,571,352 = 1,571,352/x
  3. Step 3: Cross multiply
    723,408x = 1,571,352 × 1,571,352
  4. Step 4: Simplify right side
    723,408x = 2,469,147,107,904
  5. Step 5: Solve for x
    x = 2,469,147,107,904/723,408
  6. Step 6: Final answer
    x = 3,413,215.10

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