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Finding the Third Proportional to 674,568 and 1,376,234

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Solution

The third proportional to 674,568 and 1,376,234 is: 2,807,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,568 : 1,376,234 = 1,376,234 : x
  2. Step 2: Convert to fraction form
    674,568/1,376,234 = 1,376,234/x
  3. Step 3: Cross multiply
    674,568x = 1,376,234 × 1,376,234
  4. Step 4: Simplify right side
    674,568x = 1,894,020,022,756
  5. Step 5: Solve for x
    x = 1,894,020,022,756/674,568
  6. Step 6: Final answer
    x = 2,807,752.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.