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Finding the Third Proportional to 389,016 and 844,425

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Solution

The third proportional to 389,016 and 844,425 is: 1,832,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,016 : 844,425 = 844,425 : x
  2. Step 2: Convert to fraction form
    389,016/844,425 = 844,425/x
  3. Step 3: Cross multiply
    389,016x = 844,425 × 844,425
  4. Step 4: Simplify right side
    389,016x = 713,053,580,625
  5. Step 5: Solve for x
    x = 713,053,580,625/389,016
  6. Step 6: Final answer
    x = 1,832,967.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.