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Finding the Third Proportional to 564,388 and 1,231,600

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Solution

The third proportional to 564,388 and 1,231,600 is: 2,687,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,388 : 1,231,600 = 1,231,600 : x
  2. Step 2: Convert to fraction form
    564,388/1,231,600 = 1,231,600/x
  3. Step 3: Cross multiply
    564,388x = 1,231,600 × 1,231,600
  4. Step 4: Simplify right side
    564,388x = 1,516,838,560,000
  5. Step 5: Solve for x
    x = 1,516,838,560,000/564,388
  6. Step 6: Final answer
    x = 2,687,581.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.