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Finding the Third Proportional to 412,186,468 and 888,941,193

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Solution

The third proportional to 412,186,468 and 888,941,193 is: 1,917,133,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,468 : 888,941,193 = 888,941,193 : x
  2. Step 2: Convert to fraction form
    412,186,468/888,941,193 = 888,941,193/x
  3. Step 3: Cross multiply
    412,186,468x = 888,941,193 × 888,941,193
  4. Step 4: Simplify right side
    412,186,468x = 790,216,444,612,263,296
  5. Step 5: Solve for x
    x = 790,216,444,612,263,296/412,186,468
  6. Step 6: Final answer
    x = 1,917,133,399.47

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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.