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Finding the Third Proportional to 721,251 and 1,542,559.50

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Solution

The third proportional to 721,251 and 1,542,559.50 is: 3,299,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,251 : 1,542,559.50 = 1,542,559.50 : x
  2. Step 2: Convert to fraction form
    721,251/1,542,559.50 = 1,542,559.50/x
  3. Step 3: Cross multiply
    721,251x = 1,542,559.50 × 1,542,559.50
  4. Step 4: Simplify right side
    721,251x = 2,379,489,811,040.25
  5. Step 5: Solve for x
    x = 2,379,489,811,040.25/721,251
  6. Step 6: Final answer
    x = 3,299,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.