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Finding the Third Proportional to 667,415.16 and 1,033,126.84

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Solution

The third proportional to 667,415.16 and 1,033,126.84 is: 1,599,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,415.16 : 1,033,126.84 = 1,033,126.84 : x
  2. Step 2: Convert to fraction form
    667,415.16/1,033,126.84 = 1,033,126.84/x
  3. Step 3: Cross multiply
    667,415.16x = 1,033,126.84 × 1,033,126.84
  4. Step 4: Simplify right side
    667,415.16x = 1,067,351,067,205.64
  5. Step 5: Solve for x
    x = 1,067,351,067,205.64/667,415.16
  6. Step 6: Final answer
    x = 1,599,231.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.