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Finding the Third Proportional to 2,701,296 and 5,900,256

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Solution

The third proportional to 2,701,296 and 5,900,256 is: 12,887,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,296 : 5,900,256 = 5,900,256 : x
  2. Step 2: Convert to fraction form
    2,701,296/5,900,256 = 5,900,256/x
  3. Step 3: Cross multiply
    2,701,296x = 5,900,256 × 5,900,256
  4. Step 4: Simplify right side
    2,701,296x = 34,813,020,865,536
  5. Step 5: Solve for x
    x = 34,813,020,865,536/2,701,296
  6. Step 6: Final answer
    x = 12,887,525.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.