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Finding the Third Proportional to 1,591,115.48 and 3,542,368.78

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Solution

The third proportional to 1,591,115.48 and 3,542,368.78 is: 7,886,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,115.48 : 3,542,368.78 = 3,542,368.78 : x
  2. Step 2: Convert to fraction form
    1,591,115.48/3,542,368.78 = 3,542,368.78/x
  3. Step 3: Cross multiply
    1,591,115.48x = 3,542,368.78 × 3,542,368.78
  4. Step 4: Simplify right side
    1,591,115.48x = 12,548,376,582,374.61
  5. Step 5: Solve for x
    x = 12,548,376,582,374.61/1,591,115.48
  6. Step 6: Final answer
    x = 7,886,527.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.