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Finding the Third Proportional to 677,759.25 and 1,467,099

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Solution

The third proportional to 677,759.25 and 1,467,099 is: 3,175,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,759.25 : 1,467,099 = 1,467,099 : x
  2. Step 2: Convert to fraction form
    677,759.25/1,467,099 = 1,467,099/x
  3. Step 3: Cross multiply
    677,759.25x = 1,467,099 × 1,467,099
  4. Step 4: Simplify right side
    677,759.25x = 2,152,379,475,801
  5. Step 5: Solve for x
    x = 2,152,379,475,801/677,759.25
  6. Step 6: Final answer
    x = 3,175,728.66

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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.