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Finding the Third Proportional to 431,692.88 and 949,043.25

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Solution

The third proportional to 431,692.88 and 949,043.25 is: 2,086,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,692.88 : 949,043.25 = 949,043.25 : x
  2. Step 2: Convert to fraction form
    431,692.88/949,043.25 = 949,043.25/x
  3. Step 3: Cross multiply
    431,692.88x = 949,043.25 × 949,043.25
  4. Step 4: Simplify right side
    431,692.88x = 900,683,090,370.56
  5. Step 5: Solve for x
    x = 900,683,090,370.56/431,692.88
  6. Step 6: Final answer
    x = 2,086,397.86

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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.