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Finding the Third Proportional to 724,851.75 and 1,508,589

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Solution

The third proportional to 724,851.75 and 1,508,589 is: 3,139,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,851.75 : 1,508,589 = 1,508,589 : x
  2. Step 2: Convert to fraction form
    724,851.75/1,508,589 = 1,508,589/x
  3. Step 3: Cross multiply
    724,851.75x = 1,508,589 × 1,508,589
  4. Step 4: Simplify right side
    724,851.75x = 2,275,840,770,921
  5. Step 5: Solve for x
    x = 2,275,840,770,921/724,851.75
  6. Step 6: Final answer
    x = 3,139,732.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.