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Finding the Third Proportional to 442,382 and 967,555

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Solution

The third proportional to 442,382 and 967,555 is: 2,116,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,382 : 967,555 = 967,555 : x
  2. Step 2: Convert to fraction form
    442,382/967,555 = 967,555/x
  3. Step 3: Cross multiply
    442,382x = 967,555 × 967,555
  4. Step 4: Simplify right side
    442,382x = 936,162,678,025
  5. Step 5: Solve for x
    x = 936,162,678,025/442,382
  6. Step 6: Final answer
    x = 2,116,186.19

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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.