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Finding the Third Proportional to 2,858,296 and 6,131,028

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Solution

The third proportional to 2,858,296 and 6,131,028 is: 13,151,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,296 : 6,131,028 = 6,131,028 : x
  2. Step 2: Convert to fraction form
    2,858,296/6,131,028 = 6,131,028/x
  3. Step 3: Cross multiply
    2,858,296x = 6,131,028 × 6,131,028
  4. Step 4: Simplify right side
    2,858,296x = 37,589,504,336,784
  5. Step 5: Solve for x
    x = 37,589,504,336,784/2,858,296
  6. Step 6: Final answer
    x = 13,151,018.77

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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.