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Finding the Third Proportional to 441,529 and 982,984

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Solution

The third proportional to 441,529 and 982,984 is: 2,188,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,529 : 982,984 = 982,984 : x
  2. Step 2: Convert to fraction form
    441,529/982,984 = 982,984/x
  3. Step 3: Cross multiply
    441,529x = 982,984 × 982,984
  4. Step 4: Simplify right side
    441,529x = 966,257,544,256
  5. Step 5: Solve for x
    x = 966,257,544,256/441,529
  6. Step 6: Final answer
    x = 2,188,435.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.