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Finding the Third Proportional to 2,384,834 and 5,110,916

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Solution

The third proportional to 2,384,834 and 5,110,916 is: 10,953,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,834 : 5,110,916 = 5,110,916 : x
  2. Step 2: Convert to fraction form
    2,384,834/5,110,916 = 5,110,916/x
  3. Step 3: Cross multiply
    2,384,834x = 5,110,916 × 5,110,916
  4. Step 4: Simplify right side
    2,384,834x = 26,121,462,359,056
  5. Step 5: Solve for x
    x = 26,121,462,359,056/2,384,834
  6. Step 6: Final answer
    x = 10,953,157.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.