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Finding the Third Proportional to 1,866,971.25 and 2,883,375

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Solution

The third proportional to 1,866,971.25 and 2,883,375 is: 4,453,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,971.25 : 2,883,375 = 2,883,375 : x
  2. Step 2: Convert to fraction form
    1,866,971.25/2,883,375 = 2,883,375/x
  3. Step 3: Cross multiply
    1,866,971.25x = 2,883,375 × 2,883,375
  4. Step 4: Simplify right side
    1,866,971.25x = 8,313,851,390,625
  5. Step 5: Solve for x
    x = 8,313,851,390,625/1,866,971.25
  6. Step 6: Final answer
    x = 4,453,122.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.