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Finding the Third Proportional to 1,915,854.75 and 3,192,963.75

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Solution

The third proportional to 1,915,854.75 and 3,192,963.75 is: 5,321,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915,854.75 : 3,192,963.75 = 3,192,963.75 : x
  2. Step 2: Convert to fraction form
    1,915,854.75/3,192,963.75 = 3,192,963.75/x
  3. Step 3: Cross multiply
    1,915,854.75x = 3,192,963.75 × 3,192,963.75
  4. Step 4: Simplify right side
    1,915,854.75x = 10,195,017,508,814.06
  5. Step 5: Solve for x
    x = 10,195,017,508,814.06/1,915,854.75
  6. Step 6: Final answer
    x = 5,321,393.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.