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Finding the Third Proportional to 1,454,744 and 3,161,295

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Solution

The third proportional to 1,454,744 and 3,161,295 is: 6,869,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,744 : 3,161,295 = 3,161,295 : x
  2. Step 2: Convert to fraction form
    1,454,744/3,161,295 = 3,161,295/x
  3. Step 3: Cross multiply
    1,454,744x = 3,161,295 × 3,161,295
  4. Step 4: Simplify right side
    1,454,744x = 9,993,786,077,025
  5. Step 5: Solve for x
    x = 9,993,786,077,025/1,454,744
  6. Step 6: Final answer
    x = 6,869,790.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.