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Finding the Third Proportional to 2,171,161.97 and 3,193,584.47

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Solution

The third proportional to 2,171,161.97 and 3,193,584.47 is: 4,697,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,161.97 : 3,193,584.47 = 3,193,584.47 : x
  2. Step 2: Convert to fraction form
    2,171,161.97/3,193,584.47 = 3,193,584.47/x
  3. Step 3: Cross multiply
    2,171,161.97x = 3,193,584.47 × 3,193,584.47
  4. Step 4: Simplify right side
    2,171,161.97x = 10,198,981,759,041.22
  5. Step 5: Solve for x
    x = 10,198,981,759,041.22/2,171,161.97
  6. Step 6: Final answer
    x = 4,697,476.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.