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Finding the Third Proportional to 613,711.69 and 1,341,694.13

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Solution

The third proportional to 613,711.69 and 1,341,694.13 is: 2,933,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,711.69 : 1,341,694.13 = 1,341,694.13 : x
  2. Step 2: Convert to fraction form
    613,711.69/1,341,694.13 = 1,341,694.13/x
  3. Step 3: Cross multiply
    613,711.69x = 1,341,694.13 × 1,341,694.13
  4. Step 4: Simplify right side
    613,711.69x = 1,800,143,125,059.52
  5. Step 5: Solve for x
    x = 1,800,143,125,059.52/613,711.69
  6. Step 6: Final answer
    x = 2,933,206.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.