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Finding the Third Proportional to 2,410,745 and 5,021,191

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Solution

The third proportional to 2,410,745 and 5,021,191 is: 10,458,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,745 : 5,021,191 = 5,021,191 : x
  2. Step 2: Convert to fraction form
    2,410,745/5,021,191 = 5,021,191/x
  3. Step 3: Cross multiply
    2,410,745x = 5,021,191 × 5,021,191
  4. Step 4: Simplify right side
    2,410,745x = 25,212,359,058,481
  5. Step 5: Solve for x
    x = 25,212,359,058,481/2,410,745
  6. Step 6: Final answer
    x = 10,458,326.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.