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Finding the Third Proportional to 2,386,105.50 and 3,589,041

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Solution

The third proportional to 2,386,105.50 and 3,589,041 is: 5,398,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,105.50 : 3,589,041 = 3,589,041 : x
  2. Step 2: Convert to fraction form
    2,386,105.50/3,589,041 = 3,589,041/x
  3. Step 3: Cross multiply
    2,386,105.50x = 3,589,041 × 3,589,041
  4. Step 4: Simplify right side
    2,386,105.50x = 12,881,215,299,681
  5. Step 5: Solve for x
    x = 12,881,215,299,681/2,386,105.50
  6. Step 6: Final answer
    x = 5,398,426.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.