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Finding the Third Proportional to 412,186,194 and 888,940,645

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Solution

The third proportional to 412,186,194 and 888,940,645 is: 1,917,132,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,194 : 888,940,645 = 888,940,645 : x
  2. Step 2: Convert to fraction form
    412,186,194/888,940,645 = 888,940,645/x
  3. Step 3: Cross multiply
    412,186,194x = 888,940,645 × 888,940,645
  4. Step 4: Simplify right side
    412,186,194x = 790,215,470,333,016,064
  5. Step 5: Solve for x
    x = 790,215,470,333,016,064/412,186,194
  6. Step 6: Final answer
    x = 1,917,132,310.19

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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.