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Finding the Third Proportional to 412,967 and 848,166

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Solution

The third proportional to 412,967 and 848,166 is: 1,741,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,967 : 848,166 = 848,166 : x
  2. Step 2: Convert to fraction form
    412,967/848,166 = 848,166/x
  3. Step 3: Cross multiply
    412,967x = 848,166 × 848,166
  4. Step 4: Simplify right side
    412,967x = 719,385,563,556
  5. Step 5: Solve for x
    x = 719,385,563,556/412,967
  6. Step 6: Final answer
    x = 1,741,992.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.