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Finding the Third Proportional to 1,123,215.75 and 2,456,382.94

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Solution

The third proportional to 1,123,215.75 and 2,456,382.94 is: 5,371,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,215.75 : 2,456,382.94 = 2,456,382.94 : x
  2. Step 2: Convert to fraction form
    1,123,215.75/2,456,382.94 = 2,456,382.94/x
  3. Step 3: Cross multiply
    1,123,215.75x = 2,456,382.94 × 2,456,382.94
  4. Step 4: Simplify right side
    1,123,215.75x = 6,033,817,135,641.13
  5. Step 5: Solve for x
    x = 6,033,817,135,641.13/1,123,215.75
  6. Step 6: Final answer
    x = 5,371,912.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.