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Finding the Third Proportional to 1,498,500 and 3,211,380

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Solution

The third proportional to 1,498,500 and 3,211,380 is: 6,882,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,500 : 3,211,380 = 3,211,380 : x
  2. Step 2: Convert to fraction form
    1,498,500/3,211,380 = 3,211,380/x
  3. Step 3: Cross multiply
    1,498,500x = 3,211,380 × 3,211,380
  4. Step 4: Simplify right side
    1,498,500x = 10,312,961,504,400
  5. Step 5: Solve for x
    x = 10,312,961,504,400/1,498,500
  6. Step 6: Final answer
    x = 6,882,189.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.