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Finding the Third Proportional to 844,418 and 1,321,923

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Solution

The third proportional to 844,418 and 1,321,923 is: 2,069,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,418 : 1,321,923 = 1,321,923 : x
  2. Step 2: Convert to fraction form
    844,418/1,321,923 = 1,321,923/x
  3. Step 3: Cross multiply
    844,418x = 1,321,923 × 1,321,923
  4. Step 4: Simplify right side
    844,418x = 1,747,480,417,929
  5. Step 5: Solve for x
    x = 1,747,480,417,929/844,418
  6. Step 6: Final answer
    x = 2,069,449.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.