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Finding the Third Proportional to 667,672.88 and 1,034,618.06

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Solution

The third proportional to 667,672.88 and 1,034,618.06 is: 1,603,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,672.88 : 1,034,618.06 = 1,034,618.06 : x
  2. Step 2: Convert to fraction form
    667,672.88/1,034,618.06 = 1,034,618.06/x
  3. Step 3: Cross multiply
    667,672.88x = 1,034,618.06 × 1,034,618.06
  4. Step 4: Simplify right side
    667,672.88x = 1,070,434,535,251.25
  5. Step 5: Solve for x
    x = 1,070,434,535,251.25/667,672.88
  6. Step 6: Final answer
    x = 1,603,232.02

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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.