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Finding the Third Proportional to 1,215,198.38 and 2,659,140.75

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Solution

The third proportional to 1,215,198.38 and 2,659,140.75 is: 5,818,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,198.38 : 2,659,140.75 = 2,659,140.75 : x
  2. Step 2: Convert to fraction form
    1,215,198.38/2,659,140.75 = 2,659,140.75/x
  3. Step 3: Cross multiply
    1,215,198.38x = 2,659,140.75 × 2,659,140.75
  4. Step 4: Simplify right side
    1,215,198.38x = 7,071,029,528,310.56
  5. Step 5: Solve for x
    x = 7,071,029,528,310.56/1,215,198.38
  6. Step 6: Final answer
    x = 5,818,827.34

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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.