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Finding the Third Proportional to 2,034,796 and 3,149,265

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Solution

The third proportional to 2,034,796 and 3,149,265 is: 4,874,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,796 : 3,149,265 = 3,149,265 : x
  2. Step 2: Convert to fraction form
    2,034,796/3,149,265 = 3,149,265/x
  3. Step 3: Cross multiply
    2,034,796x = 3,149,265 × 3,149,265
  4. Step 4: Simplify right side
    2,034,796x = 9,917,870,040,225
  5. Step 5: Solve for x
    x = 9,917,870,040,225/2,034,796
  6. Step 6: Final answer
    x = 4,874,134.82

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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.