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Finding the Third Proportional to 412,186,197 and 888,940,652

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Solution

The third proportional to 412,186,197 and 888,940,652 is: 1,917,132,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,197 : 888,940,652 = 888,940,652 : x
  2. Step 2: Convert to fraction form
    412,186,197/888,940,652 = 888,940,652/x
  3. Step 3: Cross multiply
    412,186,197x = 888,940,652 × 888,940,652
  4. Step 4: Simplify right side
    412,186,197x = 790,215,482,778,185,088
  5. Step 5: Solve for x
    x = 790,215,482,778,185,088/412,186,197
  6. Step 6: Final answer
    x = 1,917,132,326.43

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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.