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Finding the Third Proportional to 1,028,850 and 2,261,375

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Solution

The third proportional to 1,028,850 and 2,261,375 is: 4,970,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,850 : 2,261,375 = 2,261,375 : x
  2. Step 2: Convert to fraction form
    1,028,850/2,261,375 = 2,261,375/x
  3. Step 3: Cross multiply
    1,028,850x = 2,261,375 × 2,261,375
  4. Step 4: Simplify right side
    1,028,850x = 5,113,816,890,625
  5. Step 5: Solve for x
    x = 5,113,816,890,625/1,028,850
  6. Step 6: Final answer
    x = 4,970,420.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.