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Finding the Third Proportional to 412,186,224 and 888,940,698

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Solution

The third proportional to 412,186,224 and 888,940,698 is: 1,917,132,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,224 : 888,940,698 = 888,940,698 : x
  2. Step 2: Convert to fraction form
    412,186,224/888,940,698 = 888,940,698/x
  3. Step 3: Cross multiply
    412,186,224x = 888,940,698 × 888,940,698
  4. Step 4: Simplify right side
    412,186,224x = 790,215,564,560,727,168
  5. Step 5: Solve for x
    x = 790,215,564,560,727,168/412,186,224
  6. Step 6: Final answer
    x = 1,917,132,399.26

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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.