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Finding the Third Proportional to 381,882 and 822,933

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Solution

The third proportional to 381,882 and 822,933 is: 1,773,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,882 : 822,933 = 822,933 : x
  2. Step 2: Convert to fraction form
    381,882/822,933 = 822,933/x
  3. Step 3: Cross multiply
    381,882x = 822,933 × 822,933
  4. Step 4: Simplify right side
    381,882x = 677,218,722,489
  5. Step 5: Solve for x
    x = 677,218,722,489/381,882
  6. Step 6: Final answer
    x = 1,773,371.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.