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Finding the Third Proportional to 395,954 and 866,736

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Solution

The third proportional to 395,954 and 866,736 is: 1,897,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,954 : 866,736 = 866,736 : x
  2. Step 2: Convert to fraction form
    395,954/866,736 = 866,736/x
  3. Step 3: Cross multiply
    395,954x = 866,736 × 866,736
  4. Step 4: Simplify right side
    395,954x = 751,231,293,696
  5. Step 5: Solve for x
    x = 751,231,293,696/395,954
  6. Step 6: Final answer
    x = 1,897,269.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.