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Finding the Third Proportional to 613,099.13 and 1,347,166.69

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Solution

The third proportional to 613,099.13 and 1,347,166.69 is: 2,960,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,099.13 : 1,347,166.69 = 1,347,166.69 : x
  2. Step 2: Convert to fraction form
    613,099.13/1,347,166.69 = 1,347,166.69/x
  3. Step 3: Cross multiply
    613,099.13x = 1,347,166.69 × 1,347,166.69
  4. Step 4: Simplify right side
    613,099.13x = 1,814,858,083,909.72
  5. Step 5: Solve for x
    x = 1,814,858,083,909.72/613,099.13
  6. Step 6: Final answer
    x = 2,960,138.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.