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Finding the Third Proportional to 441,732 and 970,242

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Solution

The third proportional to 441,732 and 970,242 is: 2,131,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,732 : 970,242 = 970,242 : x
  2. Step 2: Convert to fraction form
    441,732/970,242 = 970,242/x
  3. Step 3: Cross multiply
    441,732x = 970,242 × 970,242
  4. Step 4: Simplify right side
    441,732x = 941,369,538,564
  5. Step 5: Solve for x
    x = 941,369,538,564/441,732
  6. Step 6: Final answer
    x = 2,131,087.49

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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.