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Finding the Third Proportional to 416,896 and 848,512

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Solution

The third proportional to 416,896 and 848,512 is: 1,726,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,896 : 848,512 = 848,512 : x
  2. Step 2: Convert to fraction form
    416,896/848,512 = 848,512/x
  3. Step 3: Cross multiply
    416,896x = 848,512 × 848,512
  4. Step 4: Simplify right side
    416,896x = 719,972,614,144
  5. Step 5: Solve for x
    x = 719,972,614,144/416,896
  6. Step 6: Final answer
    x = 1,726,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.