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Finding the Third Proportional to 397,621 and 854,569

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Solution

The third proportional to 397,621 and 854,569 is: 1,836,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,621 : 854,569 = 854,569 : x
  2. Step 2: Convert to fraction form
    397,621/854,569 = 854,569/x
  3. Step 3: Cross multiply
    397,621x = 854,569 × 854,569
  4. Step 4: Simplify right side
    397,621x = 730,288,175,761
  5. Step 5: Solve for x
    x = 730,288,175,761/397,621
  6. Step 6: Final answer
    x = 1,836,643.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.