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Finding the Third Proportional to 1,669,916 and 3,722,314

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Solution

The third proportional to 1,669,916 and 3,722,314 is: 8,297,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669,916 : 3,722,314 = 3,722,314 : x
  2. Step 2: Convert to fraction form
    1,669,916/3,722,314 = 3,722,314/x
  3. Step 3: Cross multiply
    1,669,916x = 3,722,314 × 3,722,314
  4. Step 4: Simplify right side
    1,669,916x = 13,855,621,514,596
  5. Step 5: Solve for x
    x = 13,855,621,514,596/1,669,916
  6. Step 6: Final answer
    x = 8,297,196.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.