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Finding the Third Proportional to 1,679,658.75 and 2,550,592.13

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Solution

The third proportional to 1,679,658.75 and 2,550,592.13 is: 3,873,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679,658.75 : 2,550,592.13 = 2,550,592.13 : x
  2. Step 2: Convert to fraction form
    1,679,658.75/2,550,592.13 = 2,550,592.13/x
  3. Step 3: Cross multiply
    1,679,658.75x = 2,550,592.13 × 2,550,592.13
  4. Step 4: Simplify right side
    1,679,658.75x = 6,505,520,188,112.02
  5. Step 5: Solve for x
    x = 6,505,520,188,112.02/1,679,658.75
  6. Step 6: Final answer
    x = 3,873,120.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.