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Finding the Third Proportional to 638,867.25 and 1,366,377.75

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Solution

The third proportional to 638,867.25 and 1,366,377.75 is: 2,922,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,867.25 : 1,366,377.75 = 1,366,377.75 : x
  2. Step 2: Convert to fraction form
    638,867.25/1,366,377.75 = 1,366,377.75/x
  3. Step 3: Cross multiply
    638,867.25x = 1,366,377.75 × 1,366,377.75
  4. Step 4: Simplify right side
    638,867.25x = 1,866,988,155,695.06
  5. Step 5: Solve for x
    x = 1,866,988,155,695.06/638,867.25
  6. Step 6: Final answer
    x = 2,922,341.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.