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Finding the Third Proportional to 381,561 and 828,729

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Solution

The third proportional to 381,561 and 828,729 is: 1,799,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,561 : 828,729 = 828,729 : x
  2. Step 2: Convert to fraction form
    381,561/828,729 = 828,729/x
  3. Step 3: Cross multiply
    381,561x = 828,729 × 828,729
  4. Step 4: Simplify right side
    381,561x = 686,791,755,441
  5. Step 5: Solve for x
    x = 686,791,755,441/381,561
  6. Step 6: Final answer
    x = 1,799,952.71

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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.