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Finding the Third Proportional to 451,708 and 982,147

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Solution

The third proportional to 451,708 and 982,147 is: 2,135,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,708 : 982,147 = 982,147 : x
  2. Step 2: Convert to fraction form
    451,708/982,147 = 982,147/x
  3. Step 3: Cross multiply
    451,708x = 982,147 × 982,147
  4. Step 4: Simplify right side
    451,708x = 964,612,729,609
  5. Step 5: Solve for x
    x = 964,612,729,609/451,708
  6. Step 6: Final answer
    x = 2,135,478.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.