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Finding the Third Proportional to 490,115.81 and 1,067,433.19

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Solution

The third proportional to 490,115.81 and 1,067,433.19 is: 2,324,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,115.81 : 1,067,433.19 = 1,067,433.19 : x
  2. Step 2: Convert to fraction form
    490,115.81/1,067,433.19 = 1,067,433.19/x
  3. Step 3: Cross multiply
    490,115.81x = 1,067,433.19 × 1,067,433.19
  4. Step 4: Simplify right side
    490,115.81x = 1,139,413,609,776.41
  5. Step 5: Solve for x
    x = 1,139,413,609,776.41/490,115.81
  6. Step 6: Final answer
    x = 2,324,784.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.