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Finding the Third Proportional to 667,992 and 1,455,867

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Solution

The third proportional to 667,992 and 1,455,867 is: 3,173,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,992 : 1,455,867 = 1,455,867 : x
  2. Step 2: Convert to fraction form
    667,992/1,455,867 = 1,455,867/x
  3. Step 3: Cross multiply
    667,992x = 1,455,867 × 1,455,867
  4. Step 4: Simplify right side
    667,992x = 2,119,548,721,689
  5. Step 5: Solve for x
    x = 2,119,548,721,689/667,992
  6. Step 6: Final answer
    x = 3,173,015.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.