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Finding the Third Proportional to 1,821,831 and 2,722,704

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Solution

The third proportional to 1,821,831 and 2,722,704 is: 4,069,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,831 : 2,722,704 = 2,722,704 : x
  2. Step 2: Convert to fraction form
    1,821,831/2,722,704 = 2,722,704/x
  3. Step 3: Cross multiply
    1,821,831x = 2,722,704 × 2,722,704
  4. Step 4: Simplify right side
    1,821,831x = 7,413,117,071,616
  5. Step 5: Solve for x
    x = 7,413,117,071,616/1,821,831
  6. Step 6: Final answer
    x = 4,069,047.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.