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Finding the Third Proportional to 667,976 and 1,433,104

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Solution

The third proportional to 667,976 and 1,433,104 is: 3,074,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,976 : 1,433,104 = 1,433,104 : x
  2. Step 2: Convert to fraction form
    667,976/1,433,104 = 1,433,104/x
  3. Step 3: Cross multiply
    667,976x = 1,433,104 × 1,433,104
  4. Step 4: Simplify right side
    667,976x = 2,053,787,074,816
  5. Step 5: Solve for x
    x = 2,053,787,074,816/667,976
  6. Step 6: Final answer
    x = 3,074,642.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.