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Finding the Third Proportional to 733,726.50 and 1,589,589

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Solution

The third proportional to 733,726.50 and 1,589,589 is: 3,443,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,726.50 : 1,589,589 = 1,589,589 : x
  2. Step 2: Convert to fraction form
    733,726.50/1,589,589 = 1,589,589/x
  3. Step 3: Cross multiply
    733,726.50x = 1,589,589 × 1,589,589
  4. Step 4: Simplify right side
    733,726.50x = 2,526,793,188,921
  5. Step 5: Solve for x
    x = 2,526,793,188,921/733,726.50
  6. Step 6: Final answer
    x = 3,443,780.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.