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Finding the Third Proportional to 859,524 and 1,821,498

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Solution

The third proportional to 859,524 and 1,821,498 is: 3,860,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,524 : 1,821,498 = 1,821,498 : x
  2. Step 2: Convert to fraction form
    859,524/1,821,498 = 1,821,498/x
  3. Step 3: Cross multiply
    859,524x = 1,821,498 × 1,821,498
  4. Step 4: Simplify right side
    859,524x = 3,317,854,964,004
  5. Step 5: Solve for x
    x = 3,317,854,964,004/859,524
  6. Step 6: Final answer
    x = 3,860,107.41

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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.