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Finding the Third Proportional to 547,122 and 818,493

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Solution

The third proportional to 547,122 and 818,493 is: 1,224,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,122 : 818,493 = 818,493 : x
  2. Step 2: Convert to fraction form
    547,122/818,493 = 818,493/x
  3. Step 3: Cross multiply
    547,122x = 818,493 × 818,493
  4. Step 4: Simplify right side
    547,122x = 669,930,791,049
  5. Step 5: Solve for x
    x = 669,930,791,049/547,122
  6. Step 6: Final answer
    x = 1,224,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.