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Finding the Third Proportional to 419,414,920 and 629,122,434

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Solution

The third proportional to 419,414,920 and 629,122,434 is: 943,683,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414,920 : 629,122,434 = 629,122,434 : x
  2. Step 2: Convert to fraction form
    419,414,920/629,122,434 = 629,122,434/x
  3. Step 3: Cross multiply
    419,414,920x = 629,122,434 × 629,122,434
  4. Step 4: Simplify right side
    419,414,920x = 395,795,036,962,084,352
  5. Step 5: Solve for x
    x = 395,795,036,962,084,352/419,414,920
  6. Step 6: Final answer
    x = 943,683,732.00

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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.