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Finding the Third Proportional to 2,414,578 and 5,117,021

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Solution

The third proportional to 2,414,578 and 5,117,021 is: 10,844,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,578 : 5,117,021 = 5,117,021 : x
  2. Step 2: Convert to fraction form
    2,414,578/5,117,021 = 5,117,021/x
  3. Step 3: Cross multiply
    2,414,578x = 5,117,021 × 5,117,021
  4. Step 4: Simplify right side
    2,414,578x = 26,183,903,914,441
  5. Step 5: Solve for x
    x = 26,183,903,914,441/2,414,578
  6. Step 6: Final answer
    x = 10,844,091.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.