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Finding the Third Proportional to 412,186,269 and 888,940,795

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Solution

The third proportional to 412,186,269 and 888,940,795 is: 1,917,132,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,269 : 888,940,795 = 888,940,795 : x
  2. Step 2: Convert to fraction form
    412,186,269/888,940,795 = 888,940,795/x
  3. Step 3: Cross multiply
    412,186,269x = 888,940,795 × 888,940,795
  4. Step 4: Simplify right side
    412,186,269x = 790,215,737,015,232,000
  5. Step 5: Solve for x
    x = 790,215,737,015,232,000/412,186,269
  6. Step 6: Final answer
    x = 1,917,132,608.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.