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Finding the Third Proportional to 1,028,847.50 and 2,261,371

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Solution

The third proportional to 1,028,847.50 and 2,261,371 is: 4,970,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,847.50 : 2,261,371 = 2,261,371 : x
  2. Step 2: Convert to fraction form
    1,028,847.50/2,261,371 = 2,261,371/x
  3. Step 3: Cross multiply
    1,028,847.50x = 2,261,371 × 2,261,371
  4. Step 4: Simplify right side
    1,028,847.50x = 5,113,798,799,641
  5. Step 5: Solve for x
    x = 5,113,798,799,641/1,028,847.50
  6. Step 6: Final answer
    x = 4,970,414.76

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Why These Related Problems?

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