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Finding the Third Proportional to 2,440,823 and 5,248,981

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Solution

The third proportional to 2,440,823 and 5,248,981 is: 11,287,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440,823 : 5,248,981 = 5,248,981 : x
  2. Step 2: Convert to fraction form
    2,440,823/5,248,981 = 5,248,981/x
  3. Step 3: Cross multiply
    2,440,823x = 5,248,981 × 5,248,981
  4. Step 4: Simplify right side
    2,440,823x = 27,551,801,538,361
  5. Step 5: Solve for x
    x = 27,551,801,538,361/2,440,823
  6. Step 6: Final answer
    x = 11,287,914.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.