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Finding the Third Proportional to 2,555,342 and 5,629,185

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Solution

The third proportional to 2,555,342 and 5,629,185 is: 12,400,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,342 : 5,629,185 = 5,629,185 : x
  2. Step 2: Convert to fraction form
    2,555,342/5,629,185 = 5,629,185/x
  3. Step 3: Cross multiply
    2,555,342x = 5,629,185 × 5,629,185
  4. Step 4: Simplify right side
    2,555,342x = 31,687,723,764,225
  5. Step 5: Solve for x
    x = 31,687,723,764,225/2,555,342
  6. Step 6: Final answer
    x = 12,400,580.34

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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.