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Finding the Third Proportional to 1,591,447.50 and 2,524,134

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Solution

The third proportional to 1,591,447.50 and 2,524,134 is: 4,003,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,447.50 : 2,524,134 = 2,524,134 : x
  2. Step 2: Convert to fraction form
    1,591,447.50/2,524,134 = 2,524,134/x
  3. Step 3: Cross multiply
    1,591,447.50x = 2,524,134 × 2,524,134
  4. Step 4: Simplify right side
    1,591,447.50x = 6,371,252,449,956
  5. Step 5: Solve for x
    x = 6,371,252,449,956/1,591,447.50
  6. Step 6: Final answer
    x = 4,003,432.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.