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Finding the Third Proportional to 2,608,224 and 5,530,464

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Solution

The third proportional to 2,608,224 and 5,530,464 is: 11,726,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608,224 : 5,530,464 = 5,530,464 : x
  2. Step 2: Convert to fraction form
    2,608,224/5,530,464 = 5,530,464/x
  3. Step 3: Cross multiply
    2,608,224x = 5,530,464 × 5,530,464
  4. Step 4: Simplify right side
    2,608,224x = 30,586,032,055,296
  5. Step 5: Solve for x
    x = 30,586,032,055,296/2,608,224
  6. Step 6: Final answer
    x = 11,726,765.82

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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.