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Finding the Third Proportional to 401,877 and 866,852

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Solution

The third proportional to 401,877 and 866,852 is: 1,869,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,877 : 866,852 = 866,852 : x
  2. Step 2: Convert to fraction form
    401,877/866,852 = 866,852/x
  3. Step 3: Cross multiply
    401,877x = 866,852 × 866,852
  4. Step 4: Simplify right side
    401,877x = 751,432,389,904
  5. Step 5: Solve for x
    x = 751,432,389,904/401,877
  6. Step 6: Final answer
    x = 1,869,806.91

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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.