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Finding the Third Proportional to 681,112.13 and 1,068,585.75

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Solution

The third proportional to 681,112.13 and 1,068,585.75 is: 1,676,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,112.13 : 1,068,585.75 = 1,068,585.75 : x
  2. Step 2: Convert to fraction form
    681,112.13/1,068,585.75 = 1,068,585.75/x
  3. Step 3: Cross multiply
    681,112.13x = 1,068,585.75 × 1,068,585.75
  4. Step 4: Simplify right side
    681,112.13x = 1,141,875,505,103.06
  5. Step 5: Solve for x
    x = 1,141,875,505,103.06/681,112.13
  6. Step 6: Final answer
    x = 1,676,486.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.