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Finding the Third Proportional to 667,672.88 and 1,414,806.75

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Solution

The third proportional to 667,672.88 and 1,414,806.75 is: 2,997,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,672.88 : 1,414,806.75 = 1,414,806.75 : x
  2. Step 2: Convert to fraction form
    667,672.88/1,414,806.75 = 1,414,806.75/x
  3. Step 3: Cross multiply
    667,672.88x = 1,414,806.75 × 1,414,806.75
  4. Step 4: Simplify right side
    667,672.88x = 2,001,678,139,845.56
  5. Step 5: Solve for x
    x = 2,001,678,139,845.56/667,672.88
  6. Step 6: Final answer
    x = 2,997,992.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.