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Finding the Third Proportional to 701,000 and 1,520,100

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Solution

The third proportional to 701,000 and 1,520,100 is: 3,296,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,000 : 1,520,100 = 1,520,100 : x
  2. Step 2: Convert to fraction form
    701,000/1,520,100 = 1,520,100/x
  3. Step 3: Cross multiply
    701,000x = 1,520,100 × 1,520,100
  4. Step 4: Simplify right side
    701,000x = 2,310,704,010,000
  5. Step 5: Solve for x
    x = 2,310,704,010,000/701,000
  6. Step 6: Final answer
    x = 3,296,296.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.