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Finding the Third Proportional to 389,168 and 854,956

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Solution

The third proportional to 389,168 and 854,956 is: 1,878,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,168 : 854,956 = 854,956 : x
  2. Step 2: Convert to fraction form
    389,168/854,956 = 854,956/x
  3. Step 3: Cross multiply
    389,168x = 854,956 × 854,956
  4. Step 4: Simplify right side
    389,168x = 730,949,761,936
  5. Step 5: Solve for x
    x = 730,949,761,936/389,168
  6. Step 6: Final answer
    x = 1,878,237.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.