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Finding the Third Proportional to 2,255,496.75 and 5,263,008.75

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Solution

The third proportional to 2,255,496.75 and 5,263,008.75 is: 12,280,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,496.75 : 5,263,008.75 = 5,263,008.75 : x
  2. Step 2: Convert to fraction form
    2,255,496.75/5,263,008.75 = 5,263,008.75/x
  3. Step 3: Cross multiply
    2,255,496.75x = 5,263,008.75 × 5,263,008.75
  4. Step 4: Simplify right side
    2,255,496.75x = 27,699,261,102,576.56
  5. Step 5: Solve for x
    x = 27,699,261,102,576.56/2,255,496.75
  6. Step 6: Final answer
    x = 12,280,780.76

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.