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Finding the Third Proportional to 412,969 and 848,170

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Solution

The third proportional to 412,969 and 848,170 is: 1,742,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,969 : 848,170 = 848,170 : x
  2. Step 2: Convert to fraction form
    412,969/848,170 = 848,170/x
  3. Step 3: Cross multiply
    412,969x = 848,170 × 848,170
  4. Step 4: Simplify right side
    412,969x = 719,392,348,900
  5. Step 5: Solve for x
    x = 719,392,348,900/412,969
  6. Step 6: Final answer
    x = 1,742,000.85

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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.