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Finding the Third Proportional to 701,008 and 1,520,120

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Solution

The third proportional to 701,008 and 1,520,120 is: 3,296,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,008 : 1,520,120 = 1,520,120 : x
  2. Step 2: Convert to fraction form
    701,008/1,520,120 = 1,520,120/x
  3. Step 3: Cross multiply
    701,008x = 1,520,120 × 1,520,120
  4. Step 4: Simplify right side
    701,008x = 2,310,764,814,400
  5. Step 5: Solve for x
    x = 2,310,764,814,400/701,008
  6. Step 6: Final answer
    x = 3,296,345.85

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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.