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Finding the Third Proportional to 401,888 and 866,877

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Solution

The third proportional to 401,888 and 866,877 is: 1,869,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,888 : 866,877 = 866,877 : x
  2. Step 2: Convert to fraction form
    401,888/866,877 = 866,877/x
  3. Step 3: Cross multiply
    401,888x = 866,877 × 866,877
  4. Step 4: Simplify right side
    401,888x = 751,475,733,129
  5. Step 5: Solve for x
    x = 751,475,733,129/401,888
  6. Step 6: Final answer
    x = 1,869,863.58

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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.