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Finding the Third Proportional to 442,940 and 967,072

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Solution

The third proportional to 442,940 and 967,072 is: 2,111,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,940 : 967,072 = 967,072 : x
  2. Step 2: Convert to fraction form
    442,940/967,072 = 967,072/x
  3. Step 3: Cross multiply
    442,940x = 967,072 × 967,072
  4. Step 4: Simplify right side
    442,940x = 935,228,253,184
  5. Step 5: Solve for x
    x = 935,228,253,184/442,940
  6. Step 6: Final answer
    x = 2,111,410.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.