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Finding the Third Proportional to 969,162 and 2,130,861

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Solution

The third proportional to 969,162 and 2,130,861 is: 4,685,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,162 : 2,130,861 = 2,130,861 : x
  2. Step 2: Convert to fraction form
    969,162/2,130,861 = 2,130,861/x
  3. Step 3: Cross multiply
    969,162x = 2,130,861 × 2,130,861
  4. Step 4: Simplify right side
    969,162x = 4,540,568,601,321
  5. Step 5: Solve for x
    x = 4,540,568,601,321/969,162
  6. Step 6: Final answer
    x = 4,685,046.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.