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Finding the Third Proportional to 826,471.69 and 1,711,339.31

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Solution

The third proportional to 826,471.69 and 1,711,339.31 is: 3,543,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,471.69 : 1,711,339.31 = 1,711,339.31 : x
  2. Step 2: Convert to fraction form
    826,471.69/1,711,339.31 = 1,711,339.31/x
  3. Step 3: Cross multiply
    826,471.69x = 1,711,339.31 × 1,711,339.31
  4. Step 4: Simplify right side
    826,471.69x = 2,928,682,242,507.97
  5. Step 5: Solve for x
    x = 2,928,682,242,507.97/826,471.69
  6. Step 6: Final answer
    x = 3,543,596.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.