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Finding the Third Proportional to 723,832.13 and 1,559,851.13

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Solution

The third proportional to 723,832.13 and 1,559,851.13 is: 3,361,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,832.13 : 1,559,851.13 = 1,559,851.13 : x
  2. Step 2: Convert to fraction form
    723,832.13/1,559,851.13 = 1,559,851.13/x
  3. Step 3: Cross multiply
    723,832.13x = 1,559,851.13 × 1,559,851.13
  4. Step 4: Simplify right side
    723,832.13x = 2,433,135,532,163.77
  5. Step 5: Solve for x
    x = 2,433,135,532,163.77/723,832.13
  6. Step 6: Final answer
    x = 3,361,463.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.