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Finding the Third Proportional to 859,940 and 1,790,456

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Solution

The third proportional to 859,940 and 1,790,456 is: 3,727,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,940 : 1,790,456 = 1,790,456 : x
  2. Step 2: Convert to fraction form
    859,940/1,790,456 = 1,790,456/x
  3. Step 3: Cross multiply
    859,940x = 1,790,456 × 1,790,456
  4. Step 4: Simplify right side
    859,940x = 3,205,732,687,936
  5. Step 5: Solve for x
    x = 3,205,732,687,936/859,940
  6. Step 6: Final answer
    x = 3,727,856.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.