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Finding the Third Proportional to 677,757 and 1,467,096.75

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Solution

The third proportional to 677,757 and 1,467,096.75 is: 3,175,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,757 : 1,467,096.75 = 1,467,096.75 : x
  2. Step 2: Convert to fraction form
    677,757/1,467,096.75 = 1,467,096.75/x
  3. Step 3: Cross multiply
    677,757x = 1,467,096.75 × 1,467,096.75
  4. Step 4: Simplify right side
    677,757x = 2,152,372,873,860.56
  5. Step 5: Solve for x
    x = 2,152,372,873,860.56/677,757
  6. Step 6: Final answer
    x = 3,175,729.46

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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.