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Finding the Third Proportional to 274,503,843 and 603,418,302

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Solution

The third proportional to 274,503,843 and 603,418,302 is: 1,326,442,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,503,843 : 603,418,302 = 603,418,302 : x
  2. Step 2: Convert to fraction form
    274,503,843/603,418,302 = 603,418,302/x
  3. Step 3: Cross multiply
    274,503,843x = 603,418,302 × 603,418,302
  4. Step 4: Simplify right side
    274,503,843x = 364,113,647,188,563,200
  5. Step 5: Solve for x
    x = 364,113,647,188,563,200/274,503,843
  6. Step 6: Final answer
    x = 1,326,442,803.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.