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Finding the Third Proportional to 374,220 and 820,197

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Solution

The third proportional to 374,220 and 820,197 is: 1,797,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,220 : 820,197 = 820,197 : x
  2. Step 2: Convert to fraction form
    374,220/820,197 = 820,197/x
  3. Step 3: Cross multiply
    374,220x = 820,197 × 820,197
  4. Step 4: Simplify right side
    374,220x = 672,723,118,809
  5. Step 5: Solve for x
    x = 672,723,118,809/374,220
  6. Step 6: Final answer
    x = 1,797,667.47

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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.