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Finding the Third Proportional to 441,489 and 935,571

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Solution

The third proportional to 441,489 and 935,571 is: 1,982,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,489 : 935,571 = 935,571 : x
  2. Step 2: Convert to fraction form
    441,489/935,571 = 935,571/x
  3. Step 3: Cross multiply
    441,489x = 935,571 × 935,571
  4. Step 4: Simplify right side
    441,489x = 875,293,096,041
  5. Step 5: Solve for x
    x = 875,293,096,041/441,489
  6. Step 6: Final answer
    x = 1,982,593.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.