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Finding the Third Proportional to 412,186,256 and 888,940,761

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Solution

The third proportional to 412,186,256 and 888,940,761 is: 1,917,132,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,256 : 888,940,761 = 888,940,761 : x
  2. Step 2: Convert to fraction form
    412,186,256/888,940,761 = 888,940,761/x
  3. Step 3: Cross multiply
    412,186,256x = 888,940,761 × 888,940,761
  4. Step 4: Simplify right side
    412,186,256x = 790,215,676,567,259,136
  5. Step 5: Solve for x
    x = 790,215,676,567,259,136/412,186,256
  6. Step 6: Final answer
    x = 1,917,132,522.17

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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.