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Finding the Third Proportional to 859,500 and 1,821,450

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Solution

The third proportional to 859,500 and 1,821,450 is: 3,860,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,500 : 1,821,450 = 1,821,450 : x
  2. Step 2: Convert to fraction form
    859,500/1,821,450 = 1,821,450/x
  3. Step 3: Cross multiply
    859,500x = 1,821,450 × 1,821,450
  4. Step 4: Simplify right side
    859,500x = 3,317,680,102,500
  5. Step 5: Solve for x
    x = 3,317,680,102,500/859,500
  6. Step 6: Final answer
    x = 3,860,011.75

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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.