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Finding the Third Proportional to 442,387 and 967,567

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Solution

The third proportional to 442,387 and 967,567 is: 2,116,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,387 : 967,567 = 967,567 : x
  2. Step 2: Convert to fraction form
    442,387/967,567 = 967,567/x
  3. Step 3: Cross multiply
    442,387x = 967,567 × 967,567
  4. Step 4: Simplify right side
    442,387x = 936,185,899,489
  5. Step 5: Solve for x
    x = 936,185,899,489/442,387
  6. Step 6: Final answer
    x = 2,116,214.76

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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.