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Finding the Third Proportional to 2,109,042 and 3,268,431

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Solution

The third proportional to 2,109,042 and 3,268,431 is: 5,065,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,042 : 3,268,431 = 3,268,431 : x
  2. Step 2: Convert to fraction form
    2,109,042/3,268,431 = 3,268,431/x
  3. Step 3: Cross multiply
    2,109,042x = 3,268,431 × 3,268,431
  4. Step 4: Simplify right side
    2,109,042x = 10,682,641,201,761
  5. Step 5: Solve for x
    x = 10,682,641,201,761/2,109,042
  6. Step 6: Final answer
    x = 5,065,162.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.