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Finding the Third Proportional to 514,793.25 and 1,109,166.75

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Solution

The third proportional to 514,793.25 and 1,109,166.75 is: 2,389,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,793.25 : 1,109,166.75 = 1,109,166.75 : x
  2. Step 2: Convert to fraction form
    514,793.25/1,109,166.75 = 1,109,166.75/x
  3. Step 3: Cross multiply
    514,793.25x = 1,109,166.75 × 1,109,166.75
  4. Step 4: Simplify right side
    514,793.25x = 1,230,250,879,305.56
  5. Step 5: Solve for x
    x = 1,230,250,879,305.56/514,793.25
  6. Step 6: Final answer
    x = 2,389,796.06

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Why These Related Problems?

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