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Finding the Third Proportional to 419,414,926 and 629,122,443

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Solution

The third proportional to 419,414,926 and 629,122,443 is: 943,683,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414,926 : 629,122,443 = 629,122,443 : x
  2. Step 2: Convert to fraction form
    419,414,926/629,122,443 = 629,122,443/x
  3. Step 3: Cross multiply
    419,414,926x = 629,122,443 × 629,122,443
  4. Step 4: Simplify right side
    419,414,926x = 395,795,048,286,288,256
  5. Step 5: Solve for x
    x = 395,795,048,286,288,256/419,414,926
  6. Step 6: Final answer
    x = 943,683,745.50

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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.