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Finding the Third Proportional to 901,074 and 1,259,757

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Solution

The third proportional to 901,074 and 1,259,757 is: 1,761,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,074 : 1,259,757 = 1,259,757 : x
  2. Step 2: Convert to fraction form
    901,074/1,259,757 = 1,259,757/x
  3. Step 3: Cross multiply
    901,074x = 1,259,757 × 1,259,757
  4. Step 4: Simplify right side
    901,074x = 1,586,987,699,049
  5. Step 5: Solve for x
    x = 1,586,987,699,049/901,074
  6. Step 6: Final answer
    x = 1,761,217.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.