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Finding the Third Proportional to 419,412,168 and 919,445,904

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Solution

The third proportional to 419,412,168 and 919,445,904 is: 2,015,632,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,412,168 : 919,445,904 = 919,445,904 : x
  2. Step 2: Convert to fraction form
    419,412,168/919,445,904 = 919,445,904/x
  3. Step 3: Cross multiply
    419,412,168x = 919,445,904 × 919,445,904
  4. Step 4: Simplify right side
    419,412,168x = 845,380,770,382,377,216
  5. Step 5: Solve for x
    x = 845,380,770,382,377,216/419,412,168
  6. Step 6: Final answer
    x = 2,015,632,437.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.