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Finding the Third Proportional to 1,508,314.50 and 2,109,837

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Solution

The third proportional to 1,508,314.50 and 2,109,837 is: 2,951,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,314.50 : 2,109,837 = 2,109,837 : x
  2. Step 2: Convert to fraction form
    1,508,314.50/2,109,837 = 2,109,837/x
  3. Step 3: Cross multiply
    1,508,314.50x = 2,109,837 × 2,109,837
  4. Step 4: Simplify right side
    1,508,314.50x = 4,451,412,166,569
  5. Step 5: Solve for x
    x = 4,451,412,166,569/1,508,314.50
  6. Step 6: Final answer
    x = 2,951,249.34

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