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Finding the Third Proportional to 401,881.13 and 866,860.31

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Solution

The third proportional to 401,881.13 and 866,860.31 is: 1,869,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,881.13 : 866,860.31 = 866,860.31 : x
  2. Step 2: Convert to fraction form
    401,881.13/866,860.31 = 866,860.31/x
  3. Step 3: Cross multiply
    401,881.13x = 866,860.31 × 866,860.31
  4. Step 4: Simplify right side
    401,881.13x = 751,446,801,387.60
  5. Step 5: Solve for x
    x = 751,446,801,387.60/401,881.13
  6. Step 6: Final answer
    x = 1,869,823.57

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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.