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Finding the Third Proportional to 782,538.75 and 1,649,135.25

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Solution

The third proportional to 782,538.75 and 1,649,135.25 is: 3,475,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,538.75 : 1,649,135.25 = 1,649,135.25 : x
  2. Step 2: Convert to fraction form
    782,538.75/1,649,135.25 = 1,649,135.25/x
  3. Step 3: Cross multiply
    782,538.75x = 1,649,135.25 × 1,649,135.25
  4. Step 4: Simplify right side
    782,538.75x = 2,719,647,072,792.56
  5. Step 5: Solve for x
    x = 2,719,647,072,792.56/782,538.75
  6. Step 6: Final answer
    x = 3,475,415.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.