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Finding the Third Proportional to 225,910 and 486,811

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Solution

The third proportional to 225,910 and 486,811 is: 1,049,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,910 : 486,811 = 486,811 : x
  2. Step 2: Convert to fraction form
    225,910/486,811 = 486,811/x
  3. Step 3: Cross multiply
    225,910x = 486,811 × 486,811
  4. Step 4: Simplify right side
    225,910x = 236,984,949,721
  5. Step 5: Solve for x
    x = 236,984,949,721/225,910
  6. Step 6: Final answer
    x = 1,049,023.73

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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.