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Finding the Third Proportional to 2,054,245.50 and 3,193,503

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Solution

The third proportional to 2,054,245.50 and 3,193,503 is: 4,964,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,245.50 : 3,193,503 = 3,193,503 : x
  2. Step 2: Convert to fraction form
    2,054,245.50/3,193,503 = 3,193,503/x
  3. Step 3: Cross multiply
    2,054,245.50x = 3,193,503 × 3,193,503
  4. Step 4: Simplify right side
    2,054,245.50x = 10,198,461,411,009
  5. Step 5: Solve for x
    x = 10,198,461,411,009/2,054,245.50
  6. Step 6: Final answer
    x = 4,964,577.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.