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Finding the Third Proportional to 297,380,620 and 619,199,874

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Solution

The third proportional to 297,380,620 and 619,199,874 is: 1,289,285,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,380,620 : 619,199,874 = 619,199,874 : x
  2. Step 2: Convert to fraction form
    297,380,620/619,199,874 = 619,199,874/x
  3. Step 3: Cross multiply
    297,380,620x = 619,199,874 × 619,199,874
  4. Step 4: Simplify right side
    297,380,620x = 383,408,483,961,615,872
  5. Step 5: Solve for x
    x = 383,408,483,961,615,872/297,380,620
  6. Step 6: Final answer
    x = 1,289,285,374.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.