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Finding the Third Proportional to 3,414,128 and 5,286,078

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Solution

The third proportional to 3,414,128 and 5,286,078 is: 8,184,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,128 : 5,286,078 = 5,286,078 : x
  2. Step 2: Convert to fraction form
    3,414,128/5,286,078 = 5,286,078/x
  3. Step 3: Cross multiply
    3,414,128x = 5,286,078 × 5,286,078
  4. Step 4: Simplify right side
    3,414,128x = 27,942,620,622,084
  5. Step 5: Solve for x
    x = 27,942,620,622,084/3,414,128
  6. Step 6: Final answer
    x = 8,184,409.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.