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Finding the Third Proportional to 451,909 and 963,866

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Solution

The third proportional to 451,909 and 963,866 is: 2,055,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,909 : 963,866 = 963,866 : x
  2. Step 2: Convert to fraction form
    451,909/963,866 = 963,866/x
  3. Step 3: Cross multiply
    451,909x = 963,866 × 963,866
  4. Step 4: Simplify right side
    451,909x = 929,037,665,956
  5. Step 5: Solve for x
    x = 929,037,665,956/451,909
  6. Step 6: Final answer
    x = 2,055,806.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.