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Finding the Third Proportional to 723,467 and 1,571,449

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Solution

The third proportional to 723,467 and 1,571,449 is: 3,413,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,467 : 1,571,449 = 1,571,449 : x
  2. Step 2: Convert to fraction form
    723,467/1,571,449 = 1,571,449/x
  3. Step 3: Cross multiply
    723,467x = 1,571,449 × 1,571,449
  4. Step 4: Simplify right side
    723,467x = 2,469,451,959,601
  5. Step 5: Solve for x
    x = 2,469,451,959,601/723,467
  6. Step 6: Final answer
    x = 3,413,358.12

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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.