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Finding the Third Proportional to 2,034,800 and 3,149,269

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Solution

The third proportional to 2,034,800 and 3,149,269 is: 4,874,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,800 : 3,149,269 = 3,149,269 : x
  2. Step 2: Convert to fraction form
    2,034,800/3,149,269 = 3,149,269/x
  3. Step 3: Cross multiply
    2,034,800x = 3,149,269 × 3,149,269
  4. Step 4: Simplify right side
    2,034,800x = 9,917,895,234,361
  5. Step 5: Solve for x
    x = 9,917,895,234,361/2,034,800
  6. Step 6: Final answer
    x = 4,874,137.62

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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.