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Finding the Third Proportional to 401,886 and 866,873

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Solution

The third proportional to 401,886 and 866,873 is: 1,869,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,886 : 866,873 = 866,873 : x
  2. Step 2: Convert to fraction form
    401,886/866,873 = 866,873/x
  3. Step 3: Cross multiply
    401,886x = 866,873 × 866,873
  4. Step 4: Simplify right side
    401,886x = 751,468,798,129
  5. Step 5: Solve for x
    x = 751,468,798,129/401,886
  6. Step 6: Final answer
    x = 1,869,855.63

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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.