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Finding the Third Proportional to 396,985 and 863,954

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Solution

The third proportional to 396,985 and 863,954 is: 1,880,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,985 : 863,954 = 863,954 : x
  2. Step 2: Convert to fraction form
    396,985/863,954 = 863,954/x
  3. Step 3: Cross multiply
    396,985x = 863,954 × 863,954
  4. Step 4: Simplify right side
    396,985x = 746,416,514,116
  5. Step 5: Solve for x
    x = 746,416,514,116/396,985
  6. Step 6: Final answer
    x = 1,880,213.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.