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Finding the Third Proportional to 442,376 and 967,543

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Solution

The third proportional to 442,376 and 967,543 is: 2,116,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,376 : 967,543 = 967,543 : x
  2. Step 2: Convert to fraction form
    442,376/967,543 = 967,543/x
  3. Step 3: Cross multiply
    442,376x = 967,543 × 967,543
  4. Step 4: Simplify right side
    442,376x = 936,139,456,849
  5. Step 5: Solve for x
    x = 936,139,456,849/442,376
  6. Step 6: Final answer
    x = 2,116,162.40

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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.