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Finding the Third Proportional to 416,898 and 848,520

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Solution

The third proportional to 416,898 and 848,520 is: 1,727,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,898 : 848,520 = 848,520 : x
  2. Step 2: Convert to fraction form
    416,898/848,520 = 848,520/x
  3. Step 3: Cross multiply
    416,898x = 848,520 × 848,520
  4. Step 4: Simplify right side
    416,898x = 719,986,190,400
  5. Step 5: Solve for x
    x = 719,986,190,400/416,898
  6. Step 6: Final answer
    x = 1,727,008.02

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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.