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Finding the Third Proportional to 451,737 and 982,197

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Solution

The third proportional to 451,737 and 982,197 is: 2,135,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,737 : 982,197 = 982,197 : x
  2. Step 2: Convert to fraction form
    451,737/982,197 = 982,197/x
  3. Step 3: Cross multiply
    451,737x = 982,197 × 982,197
  4. Step 4: Simplify right side
    451,737x = 964,710,946,809
  5. Step 5: Solve for x
    x = 964,710,946,809/451,737
  6. Step 6: Final answer
    x = 2,135,558.85

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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.