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Finding the Third Proportional to 429,704 and 935,872

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Solution

The third proportional to 429,704 and 935,872 is: 2,038,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,704 : 935,872 = 935,872 : x
  2. Step 2: Convert to fraction form
    429,704/935,872 = 935,872/x
  3. Step 3: Cross multiply
    429,704x = 935,872 × 935,872
  4. Step 4: Simplify right side
    429,704x = 875,856,400,384
  5. Step 5: Solve for x
    x = 875,856,400,384/429,704
  6. Step 6: Final answer
    x = 2,038,278.44

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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.