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Finding the Third Proportional to 2,271,503 and 4,858,177

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Solution

The third proportional to 2,271,503 and 4,858,177 is: 10,390,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,503 : 4,858,177 = 4,858,177 : x
  2. Step 2: Convert to fraction form
    2,271,503/4,858,177 = 4,858,177/x
  3. Step 3: Cross multiply
    2,271,503x = 4,858,177 × 4,858,177
  4. Step 4: Simplify right side
    2,271,503x = 23,601,883,763,329
  5. Step 5: Solve for x
    x = 23,601,883,763,329/2,271,503
  6. Step 6: Final answer
    x = 10,390,425.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.