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Finding the Third Proportional to 404,922 and 967,098

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Solution

The third proportional to 404,922 and 967,098 is: 2,309,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,922 : 967,098 = 967,098 : x
  2. Step 2: Convert to fraction form
    404,922/967,098 = 967,098/x
  3. Step 3: Cross multiply
    404,922x = 967,098 × 967,098
  4. Step 4: Simplify right side
    404,922x = 935,278,541,604
  5. Step 5: Solve for x
    x = 935,278,541,604/404,922
  6. Step 6: Final answer
    x = 2,309,774.58

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.