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Finding the Third Proportional to 1,384,917.75 and 2,071,840.78

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Solution

The third proportional to 1,384,917.75 and 2,071,840.78 is: 3,099,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,917.75 : 2,071,840.78 = 2,071,840.78 : x
  2. Step 2: Convert to fraction form
    1,384,917.75/2,071,840.78 = 2,071,840.78/x
  3. Step 3: Cross multiply
    1,384,917.75x = 2,071,840.78 × 2,071,840.78
  4. Step 4: Simplify right side
    1,384,917.75x = 4,292,524,222,850.61
  5. Step 5: Solve for x
    x = 4,292,524,222,850.61/1,384,917.75
  6. Step 6: Final answer
    x = 3,099,479.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.