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Finding the Third Proportional to 416,849 and 848,431

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Solution

The third proportional to 416,849 and 848,431 is: 1,726,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,849 : 848,431 = 848,431 : x
  2. Step 2: Convert to fraction form
    416,849/848,431 = 848,431/x
  3. Step 3: Cross multiply
    416,849x = 848,431 × 848,431
  4. Step 4: Simplify right side
    416,849x = 719,835,161,761
  5. Step 5: Solve for x
    x = 719,835,161,761/416,849
  6. Step 6: Final answer
    x = 1,726,848.72

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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.