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Finding the Third Proportional to 392,864 and 862,884

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Solution

The third proportional to 392,864 and 862,884 is: 1,895,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,864 : 862,884 = 862,884 : x
  2. Step 2: Convert to fraction form
    392,864/862,884 = 862,884/x
  3. Step 3: Cross multiply
    392,864x = 862,884 × 862,884
  4. Step 4: Simplify right side
    392,864x = 744,568,797,456
  5. Step 5: Solve for x
    x = 744,568,797,456/392,864
  6. Step 6: Final answer
    x = 1,895,232.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.