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Finding the Third Proportional to 2,765,284 and 5,751,296

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Solution

The third proportional to 2,765,284 and 5,751,296 is: 11,961,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,284 : 5,751,296 = 5,751,296 : x
  2. Step 2: Convert to fraction form
    2,765,284/5,751,296 = 5,751,296/x
  3. Step 3: Cross multiply
    2,765,284x = 5,751,296 × 5,751,296
  4. Step 4: Simplify right side
    2,765,284x = 33,077,405,679,616
  5. Step 5: Solve for x
    x = 33,077,405,679,616/2,765,284
  6. Step 6: Final answer
    x = 11,961,666.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.