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Finding the Third Proportional to 654,296 and 984,721

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Solution

The third proportional to 654,296 and 984,721 is: 1,482,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,296 : 984,721 = 984,721 : x
  2. Step 2: Convert to fraction form
    654,296/984,721 = 984,721/x
  3. Step 3: Cross multiply
    654,296x = 984,721 × 984,721
  4. Step 4: Simplify right side
    654,296x = 969,675,447,841
  5. Step 5: Solve for x
    x = 969,675,447,841/654,296
  6. Step 6: Final answer
    x = 1,482,013.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.