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Finding the Third Proportional to 828,299 and 1,806,542

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Solution

The third proportional to 828,299 and 1,806,542 is: 3,940,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,299 : 1,806,542 = 1,806,542 : x
  2. Step 2: Convert to fraction form
    828,299/1,806,542 = 1,806,542/x
  3. Step 3: Cross multiply
    828,299x = 1,806,542 × 1,806,542
  4. Step 4: Simplify right side
    828,299x = 3,263,593,997,764
  5. Step 5: Solve for x
    x = 3,263,593,997,764/828,299
  6. Step 6: Final answer
    x = 3,940,115.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.