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Finding the Third Proportional to 2,605,548 and 5,741,172

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Solution

The third proportional to 2,605,548 and 5,741,172 is: 12,650,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,548 : 5,741,172 = 5,741,172 : x
  2. Step 2: Convert to fraction form
    2,605,548/5,741,172 = 5,741,172/x
  3. Step 3: Cross multiply
    2,605,548x = 5,741,172 × 5,741,172
  4. Step 4: Simplify right side
    2,605,548x = 32,961,055,933,584
  5. Step 5: Solve for x
    x = 32,961,055,933,584/2,605,548
  6. Step 6: Final answer
    x = 12,650,335.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.