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Finding the Third Proportional to 1,311,496.31 and 2,836,297.27

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Solution

The third proportional to 1,311,496.31 and 2,836,297.27 is: 6,133,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,496.31 : 2,836,297.27 = 2,836,297.27 : x
  2. Step 2: Convert to fraction form
    1,311,496.31/2,836,297.27 = 2,836,297.27/x
  3. Step 3: Cross multiply
    1,311,496.31x = 2,836,297.27 × 2,836,297.27
  4. Step 4: Simplify right side
    1,311,496.31x = 8,044,582,178,991.85
  5. Step 5: Solve for x
    x = 8,044,582,178,991.85/1,311,496.31
  6. Step 6: Final answer
    x = 6,133,896.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.