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Finding the Third Proportional to 1,777,414 and 2,539,922

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Solution

The third proportional to 1,777,414 and 2,539,922 is: 3,629,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,414 : 2,539,922 = 2,539,922 : x
  2. Step 2: Convert to fraction form
    1,777,414/2,539,922 = 2,539,922/x
  3. Step 3: Cross multiply
    1,777,414x = 2,539,922 × 2,539,922
  4. Step 4: Simplify right side
    1,777,414x = 6,451,203,766,084
  5. Step 5: Solve for x
    x = 6,451,203,766,084/1,777,414
  6. Step 6: Final answer
    x = 3,629,544.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.