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Finding the Third Proportional to 667,882.75 and 1,574,992.25

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Solution

The third proportional to 667,882.75 and 1,574,992.25 is: 3,714,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,882.75 : 1,574,992.25 = 1,574,992.25 : x
  2. Step 2: Convert to fraction form
    667,882.75/1,574,992.25 = 1,574,992.25/x
  3. Step 3: Cross multiply
    667,882.75x = 1,574,992.25 × 1,574,992.25
  4. Step 4: Simplify right side
    667,882.75x = 2,480,600,587,560.06
  5. Step 5: Solve for x
    x = 2,480,600,587,560.06/667,882.75
  6. Step 6: Final answer
    x = 3,714,125.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.