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Finding the Third Proportional to 842,206.50 and 1,826,286.75

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Solution

The third proportional to 842,206.50 and 1,826,286.75 is: 3,960,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,206.50 : 1,826,286.75 = 1,826,286.75 : x
  2. Step 2: Convert to fraction form
    842,206.50/1,826,286.75 = 1,826,286.75/x
  3. Step 3: Cross multiply
    842,206.50x = 1,826,286.75 × 1,826,286.75
  4. Step 4: Simplify right side
    842,206.50x = 3,335,323,293,225.56
  5. Step 5: Solve for x
    x = 3,335,323,293,225.56/842,206.50
  6. Step 6: Final answer
    x = 3,960,220.32

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Why These Related Problems?

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