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Finding the Third Proportional to 387,832 and 808,874

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Solution

The third proportional to 387,832 and 808,874 is: 1,687,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,832 : 808,874 = 808,874 : x
  2. Step 2: Convert to fraction form
    387,832/808,874 = 808,874/x
  3. Step 3: Cross multiply
    387,832x = 808,874 × 808,874
  4. Step 4: Simplify right side
    387,832x = 654,277,147,876
  5. Step 5: Solve for x
    x = 654,277,147,876/387,832
  6. Step 6: Final answer
    x = 1,687,011.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.