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Finding the Third Proportional to 401,888 and 866,874

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Solution

The third proportional to 401,888 and 866,874 is: 1,869,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,888 : 866,874 = 866,874 : x
  2. Step 2: Convert to fraction form
    401,888/866,874 = 866,874/x
  3. Step 3: Cross multiply
    401,888x = 866,874 × 866,874
  4. Step 4: Simplify right side
    401,888x = 751,470,531,876
  5. Step 5: Solve for x
    x = 751,470,531,876/401,888
  6. Step 6: Final answer
    x = 1,869,850.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.