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Finding the Third Proportional to 450,801 and 951,903

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Solution

The third proportional to 450,801 and 951,903 is: 2,010,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,801 : 951,903 = 951,903 : x
  2. Step 2: Convert to fraction form
    450,801/951,903 = 951,903/x
  3. Step 3: Cross multiply
    450,801x = 951,903 × 951,903
  4. Step 4: Simplify right side
    450,801x = 906,119,321,409
  5. Step 5: Solve for x
    x = 906,119,321,409/450,801
  6. Step 6: Final answer
    x = 2,010,020.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.