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Finding the Third Proportional to 677,760.75 and 1,467,102

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Solution

The third proportional to 677,760.75 and 1,467,102 is: 3,175,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,760.75 : 1,467,102 = 1,467,102 : x
  2. Step 2: Convert to fraction form
    677,760.75/1,467,102 = 1,467,102/x
  3. Step 3: Cross multiply
    677,760.75x = 1,467,102 × 1,467,102
  4. Step 4: Simplify right side
    677,760.75x = 2,152,388,278,404
  5. Step 5: Solve for x
    x = 2,152,388,278,404/677,760.75
  6. Step 6: Final answer
    x = 3,175,734.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.