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Finding the Third Proportional to 451,948 and 982,538

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Solution

The third proportional to 451,948 and 982,538 is: 2,136,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,948 : 982,538 = 982,538 : x
  2. Step 2: Convert to fraction form
    451,948/982,538 = 982,538/x
  3. Step 3: Cross multiply
    451,948x = 982,538 × 982,538
  4. Step 4: Simplify right side
    451,948x = 965,380,921,444
  5. Step 5: Solve for x
    x = 965,380,921,444/451,948
  6. Step 6: Final answer
    x = 2,136,044.24

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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.