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Finding the Third Proportional to 2,527,740 and 3,876,096

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Solution

The third proportional to 2,527,740 and 3,876,096 is: 5,943,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,740 : 3,876,096 = 3,876,096 : x
  2. Step 2: Convert to fraction form
    2,527,740/3,876,096 = 3,876,096/x
  3. Step 3: Cross multiply
    2,527,740x = 3,876,096 × 3,876,096
  4. Step 4: Simplify right side
    2,527,740x = 15,024,120,201,216
  5. Step 5: Solve for x
    x = 15,024,120,201,216/2,527,740
  6. Step 6: Final answer
    x = 5,943,696.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.