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Finding the Third Proportional to 1,508,311.13 and 2,109,832.31

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Solution

The third proportional to 1,508,311.13 and 2,109,832.31 is: 2,951,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,311.13 : 2,109,832.31 = 2,109,832.31 : x
  2. Step 2: Convert to fraction form
    1,508,311.13/2,109,832.31 = 2,109,832.31/x
  3. Step 3: Cross multiply
    1,508,311.13x = 2,109,832.31 × 2,109,832.31
  4. Step 4: Simplify right side
    1,508,311.13x = 4,451,392,386,869.10
  5. Step 5: Solve for x
    x = 4,451,392,386,869.10/1,508,311.13
  6. Step 6: Final answer
    x = 2,951,242.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.