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Finding the Third Proportional to 401,874.75 and 866,847.38

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Solution

The third proportional to 401,874.75 and 866,847.38 is: 1,869,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,874.75 : 866,847.38 = 866,847.38 : x
  2. Step 2: Convert to fraction form
    401,874.75/866,847.38 = 866,847.38/x
  3. Step 3: Cross multiply
    401,874.75x = 866,847.38 × 866,847.38
  4. Step 4: Simplify right side
    401,874.75x = 751,424,371,544.39
  5. Step 5: Solve for x
    x = 751,424,371,544.39/401,874.75
  6. Step 6: Final answer
    x = 1,869,797.42

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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.