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Finding the Third Proportional to 519,032.25 and 1,115,655.75

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Solution

The third proportional to 519,032.25 and 1,115,655.75 is: 2,398,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,032.25 : 1,115,655.75 = 1,115,655.75 : x
  2. Step 2: Convert to fraction form
    519,032.25/1,115,655.75 = 1,115,655.75/x
  3. Step 3: Cross multiply
    519,032.25x = 1,115,655.75 × 1,115,655.75
  4. Step 4: Simplify right side
    519,032.25x = 1,244,687,752,508.06
  5. Step 5: Solve for x
    x = 1,244,687,752,508.06/519,032.25
  6. Step 6: Final answer
    x = 2,398,093.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.