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Finding the Third Proportional to 739,658.25 and 1,591,677

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Solution

The third proportional to 739,658.25 and 1,591,677 is: 3,425,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,658.25 : 1,591,677 = 1,591,677 : x
  2. Step 2: Convert to fraction form
    739,658.25/1,591,677 = 1,591,677/x
  3. Step 3: Cross multiply
    739,658.25x = 1,591,677 × 1,591,677
  4. Step 4: Simplify right side
    739,658.25x = 2,533,435,672,329
  5. Step 5: Solve for x
    x = 2,533,435,672,329/739,658.25
  6. Step 6: Final answer
    x = 3,425,143.53

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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.