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Finding the Third Proportional to 451,789 and 982,274

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Solution

The third proportional to 451,789 and 982,274 is: 2,135,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,789 : 982,274 = 982,274 : x
  2. Step 2: Convert to fraction form
    451,789/982,274 = 982,274/x
  3. Step 3: Cross multiply
    451,789x = 982,274 × 982,274
  4. Step 4: Simplify right side
    451,789x = 964,862,211,076
  5. Step 5: Solve for x
    x = 964,862,211,076/451,789
  6. Step 6: Final answer
    x = 2,135,647.86

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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.