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Finding the Third Proportional to 417,204 and 886,120

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Solution

The third proportional to 417,204 and 886,120 is: 1,882,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,204 : 886,120 = 886,120 : x
  2. Step 2: Convert to fraction form
    417,204/886,120 = 886,120/x
  3. Step 3: Cross multiply
    417,204x = 886,120 × 886,120
  4. Step 4: Simplify right side
    417,204x = 785,208,654,400
  5. Step 5: Solve for x
    x = 785,208,654,400/417,204
  6. Step 6: Final answer
    x = 1,882,073.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.