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Finding the Third Proportional to 437,976 and 943,425

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Solution

The third proportional to 437,976 and 943,425 is: 2,032,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,976 : 943,425 = 943,425 : x
  2. Step 2: Convert to fraction form
    437,976/943,425 = 943,425/x
  3. Step 3: Cross multiply
    437,976x = 943,425 × 943,425
  4. Step 4: Simplify right side
    437,976x = 890,050,730,625
  5. Step 5: Solve for x
    x = 890,050,730,625/437,976
  6. Step 6: Final answer
    x = 2,032,190.65

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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.