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Finding the Third Proportional to 2,152,890 and 5,074,965

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Solution

The third proportional to 2,152,890 and 5,074,965 is: 11,963,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,890 : 5,074,965 = 5,074,965 : x
  2. Step 2: Convert to fraction form
    2,152,890/5,074,965 = 5,074,965/x
  3. Step 3: Cross multiply
    2,152,890x = 5,074,965 × 5,074,965
  4. Step 4: Simplify right side
    2,152,890x = 25,755,269,751,225
  5. Step 5: Solve for x
    x = 25,755,269,751,225/2,152,890
  6. Step 6: Final answer
    x = 11,963,114.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.