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Finding the Third Proportional to 950,474 and 1,382,907

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Solution

The third proportional to 950,474 and 1,382,907 is: 2,012,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,474 : 1,382,907 = 1,382,907 : x
  2. Step 2: Convert to fraction form
    950,474/1,382,907 = 1,382,907/x
  3. Step 3: Cross multiply
    950,474x = 1,382,907 × 1,382,907
  4. Step 4: Simplify right side
    950,474x = 1,912,431,770,649
  5. Step 5: Solve for x
    x = 1,912,431,770,649/950,474
  6. Step 6: Final answer
    x = 2,012,082.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.