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Finding the Third Proportional to 2,576,256 and 6,061,824

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Solution

The third proportional to 2,576,256 and 6,061,824 is: 14,263,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,256 : 6,061,824 = 6,061,824 : x
  2. Step 2: Convert to fraction form
    2,576,256/6,061,824 = 6,061,824/x
  3. Step 3: Cross multiply
    2,576,256x = 6,061,824 × 6,061,824
  4. Step 4: Simplify right side
    2,576,256x = 36,745,710,206,976
  5. Step 5: Solve for x
    x = 36,745,710,206,976/2,576,256
  6. Step 6: Final answer
    x = 14,263,221.59

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.