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Finding the Third Proportional to 1,288,388 and 2,743,096

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Solution

The third proportional to 1,288,388 and 2,743,096 is: 5,840,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,388 : 2,743,096 = 2,743,096 : x
  2. Step 2: Convert to fraction form
    1,288,388/2,743,096 = 2,743,096/x
  3. Step 3: Cross multiply
    1,288,388x = 2,743,096 × 2,743,096
  4. Step 4: Simplify right side
    1,288,388x = 7,524,575,665,216
  5. Step 5: Solve for x
    x = 7,524,575,665,216/1,288,388
  6. Step 6: Final answer
    x = 5,840,302.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.