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Finding the Third Proportional to 412,186,401 and 888,941,050

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Solution

The third proportional to 412,186,401 and 888,941,050 is: 1,917,133,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,401 : 888,941,050 = 888,941,050 : x
  2. Step 2: Convert to fraction form
    412,186,401/888,941,050 = 888,941,050/x
  3. Step 3: Cross multiply
    412,186,401x = 888,941,050 × 888,941,050
  4. Step 4: Simplify right side
    412,186,401x = 790,216,190,375,102,464
  5. Step 5: Solve for x
    x = 790,216,190,375,102,464/412,186,401
  6. Step 6: Final answer
    x = 1,917,133,094.29

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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.