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Finding the Third Proportional to 451,170 and 914,760

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Solution

The third proportional to 451,170 and 914,760 is: 1,854,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,170 : 914,760 = 914,760 : x
  2. Step 2: Convert to fraction form
    451,170/914,760 = 914,760/x
  3. Step 3: Cross multiply
    451,170x = 914,760 × 914,760
  4. Step 4: Simplify right side
    451,170x = 836,785,857,600
  5. Step 5: Solve for x
    x = 836,785,857,600/451,170
  6. Step 6: Final answer
    x = 1,854,701.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.