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Finding the Third Proportional to 2,324,249 and 5,021,963

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Solution

The third proportional to 2,324,249 and 5,021,963 is: 10,850,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,249 : 5,021,963 = 5,021,963 : x
  2. Step 2: Convert to fraction form
    2,324,249/5,021,963 = 5,021,963/x
  3. Step 3: Cross multiply
    2,324,249x = 5,021,963 × 5,021,963
  4. Step 4: Simplify right side
    2,324,249x = 25,220,112,373,369
  5. Step 5: Solve for x
    x = 25,220,112,373,369/2,324,249
  6. Step 6: Final answer
    x = 10,850,865.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.