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Finding the Third Proportional to 1,324,101.94 and 2,807,119.13

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Solution

The third proportional to 1,324,101.94 and 2,807,119.13 is: 5,951,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,101.94 : 2,807,119.13 = 2,807,119.13 : x
  2. Step 2: Convert to fraction form
    1,324,101.94/2,807,119.13 = 2,807,119.13/x
  3. Step 3: Cross multiply
    1,324,101.94x = 2,807,119.13 × 2,807,119.13
  4. Step 4: Simplify right side
    1,324,101.94x = 7,879,917,781,940.77
  5. Step 5: Solve for x
    x = 7,879,917,781,940.77/1,324,101.94
  6. Step 6: Final answer
    x = 5,951,141.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.