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Finding the Third Proportional to 759,801.94 and 1,659,845.25

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Solution

The third proportional to 759,801.94 and 1,659,845.25 is: 3,626,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,801.94 : 1,659,845.25 = 1,659,845.25 : x
  2. Step 2: Convert to fraction form
    759,801.94/1,659,845.25 = 1,659,845.25/x
  3. Step 3: Cross multiply
    759,801.94x = 1,659,845.25 × 1,659,845.25
  4. Step 4: Simplify right side
    759,801.94x = 2,755,086,253,947.56
  5. Step 5: Solve for x
    x = 2,755,086,253,947.56/759,801.94
  6. Step 6: Final answer
    x = 3,626,058.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.