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Finding the Third Proportional to 1,381,568 and 2,973,084

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Solution

The third proportional to 1,381,568 and 2,973,084 is: 6,397,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,568 : 2,973,084 = 2,973,084 : x
  2. Step 2: Convert to fraction form
    1,381,568/2,973,084 = 2,973,084/x
  3. Step 3: Cross multiply
    1,381,568x = 2,973,084 × 2,973,084
  4. Step 4: Simplify right side
    1,381,568x = 8,839,228,471,056
  5. Step 5: Solve for x
    x = 8,839,228,471,056/1,381,568
  6. Step 6: Final answer
    x = 6,397,968.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.