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Finding the Third Proportional to 534,847.50 and 1,138,383

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Solution

The third proportional to 534,847.50 and 1,138,383 is: 2,422,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,847.50 : 1,138,383 = 1,138,383 : x
  2. Step 2: Convert to fraction form
    534,847.50/1,138,383 = 1,138,383/x
  3. Step 3: Cross multiply
    534,847.50x = 1,138,383 × 1,138,383
  4. Step 4: Simplify right side
    534,847.50x = 1,295,915,854,689
  5. Step 5: Solve for x
    x = 1,295,915,854,689/534,847.50
  6. Step 6: Final answer
    x = 2,422,963.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.