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Finding the Third Proportional to 951,842 and 1,473,843

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Solution

The third proportional to 951,842 and 1,473,843 is: 2,282,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,842 : 1,473,843 = 1,473,843 : x
  2. Step 2: Convert to fraction form
    951,842/1,473,843 = 1,473,843/x
  3. Step 3: Cross multiply
    951,842x = 1,473,843 × 1,473,843
  4. Step 4: Simplify right side
    951,842x = 2,172,213,188,649
  5. Step 5: Solve for x
    x = 2,172,213,188,649/951,842
  6. Step 6: Final answer
    x = 2,282,115.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.