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Finding the Third Proportional to 1,215,198.75 and 2,659,141.50

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Solution

The third proportional to 1,215,198.75 and 2,659,141.50 is: 5,818,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,198.75 : 2,659,141.50 = 2,659,141.50 : x
  2. Step 2: Convert to fraction form
    1,215,198.75/2,659,141.50 = 2,659,141.50/x
  3. Step 3: Cross multiply
    1,215,198.75x = 2,659,141.50 × 2,659,141.50
  4. Step 4: Simplify right side
    1,215,198.75x = 7,071,033,517,022.25
  5. Step 5: Solve for x
    x = 7,071,033,517,022.25/1,215,198.75
  6. Step 6: Final answer
    x = 5,818,828.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.