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Finding the Third Proportional to 1,923,414 and 4,104,266

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Solution

The third proportional to 1,923,414 and 4,104,266 is: 8,757,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,414 : 4,104,266 = 4,104,266 : x
  2. Step 2: Convert to fraction form
    1,923,414/4,104,266 = 4,104,266/x
  3. Step 3: Cross multiply
    1,923,414x = 4,104,266 × 4,104,266
  4. Step 4: Simplify right side
    1,923,414x = 16,844,999,398,756
  5. Step 5: Solve for x
    x = 16,844,999,398,756/1,923,414
  6. Step 6: Final answer
    x = 8,757,864.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.