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Finding the Third Proportional to 453,864 and 967,344

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Solution

The third proportional to 453,864 and 967,344 is: 2,061,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,864 : 967,344 = 967,344 : x
  2. Step 2: Convert to fraction form
    453,864/967,344 = 967,344/x
  3. Step 3: Cross multiply
    453,864x = 967,344 × 967,344
  4. Step 4: Simplify right side
    453,864x = 935,754,414,336
  5. Step 5: Solve for x
    x = 935,754,414,336/453,864
  6. Step 6: Final answer
    x = 2,061,750.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.