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Finding the Third Proportional to 374,216 and 820,189

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Solution

The third proportional to 374,216 and 820,189 is: 1,797,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,216 : 820,189 = 820,189 : x
  2. Step 2: Convert to fraction form
    374,216/820,189 = 820,189/x
  3. Step 3: Cross multiply
    374,216x = 820,189 × 820,189
  4. Step 4: Simplify right side
    374,216x = 672,709,995,721
  5. Step 5: Solve for x
    x = 672,709,995,721/374,216
  6. Step 6: Final answer
    x = 1,797,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.