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Finding the Third Proportional to 442,379 and 967,548

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Solution

The third proportional to 442,379 and 967,548 is: 2,116,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,379 : 967,548 = 967,548 : x
  2. Step 2: Convert to fraction form
    442,379/967,548 = 967,548/x
  3. Step 3: Cross multiply
    442,379x = 967,548 × 967,548
  4. Step 4: Simplify right side
    442,379x = 936,149,132,304
  5. Step 5: Solve for x
    x = 936,149,132,304/442,379
  6. Step 6: Final answer
    x = 2,116,169.92

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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.