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Finding the Third Proportional to 801,314 and 1,199,427

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Solution

The third proportional to 801,314 and 1,199,427 is: 1,795,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,314 : 1,199,427 = 1,199,427 : x
  2. Step 2: Convert to fraction form
    801,314/1,199,427 = 1,199,427/x
  3. Step 3: Cross multiply
    801,314x = 1,199,427 × 1,199,427
  4. Step 4: Simplify right side
    801,314x = 1,438,625,128,329
  5. Step 5: Solve for x
    x = 1,438,625,128,329/801,314
  6. Step 6: Final answer
    x = 1,795,332.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.