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Finding the Third Proportional to 701,002 and 1,520,104

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Solution

The third proportional to 701,002 and 1,520,104 is: 3,296,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,002 : 1,520,104 = 1,520,104 : x
  2. Step 2: Convert to fraction form
    701,002/1,520,104 = 1,520,104/x
  3. Step 3: Cross multiply
    701,002x = 1,520,104 × 1,520,104
  4. Step 4: Simplify right side
    701,002x = 2,310,716,170,816
  5. Step 5: Solve for x
    x = 2,310,716,170,816/701,002
  6. Step 6: Final answer
    x = 3,296,304.68

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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.