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Finding the Third Proportional to 632,863.13 and 1,366,947.14

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Solution

The third proportional to 632,863.13 and 1,366,947.14 is: 2,952,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,863.13 : 1,366,947.14 = 1,366,947.14 : x
  2. Step 2: Convert to fraction form
    632,863.13/1,366,947.14 = 1,366,947.14/x
  3. Step 3: Cross multiply
    632,863.13x = 1,366,947.14 × 1,366,947.14
  4. Step 4: Simplify right side
    632,863.13x = 1,868,544,485,262.86
  5. Step 5: Solve for x
    x = 1,868,544,485,262.86/632,863.13
  6. Step 6: Final answer
    x = 2,952,525.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.