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Finding the Third Proportional to 2,534,471 and 5,248,503

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Solution

The third proportional to 2,534,471 and 5,248,503 is: 10,868,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,471 : 5,248,503 = 5,248,503 : x
  2. Step 2: Convert to fraction form
    2,534,471/5,248,503 = 5,248,503/x
  3. Step 3: Cross multiply
    2,534,471x = 5,248,503 × 5,248,503
  4. Step 4: Simplify right side
    2,534,471x = 27,546,783,741,009
  5. Step 5: Solve for x
    x = 27,546,783,741,009/2,534,471
  6. Step 6: Final answer
    x = 10,868,849.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.