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Finding the Third Proportional to 547,864 and 1,195,384

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Solution

The third proportional to 547,864 and 1,195,384 is: 2,608,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,864 : 1,195,384 = 1,195,384 : x
  2. Step 2: Convert to fraction form
    547,864/1,195,384 = 1,195,384/x
  3. Step 3: Cross multiply
    547,864x = 1,195,384 × 1,195,384
  4. Step 4: Simplify right side
    547,864x = 1,428,942,907,456
  5. Step 5: Solve for x
    x = 1,428,942,907,456/547,864
  6. Step 6: Final answer
    x = 2,608,207.34

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