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Finding the Third Proportional to 442,379 and 967,549

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Solution

The third proportional to 442,379 and 967,549 is: 2,116,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,379 : 967,549 = 967,549 : x
  2. Step 2: Convert to fraction form
    442,379/967,549 = 967,549/x
  3. Step 3: Cross multiply
    442,379x = 967,549 × 967,549
  4. Step 4: Simplify right side
    442,379x = 936,151,067,401
  5. Step 5: Solve for x
    x = 936,151,067,401/442,379
  6. Step 6: Final answer
    x = 2,116,174.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.