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Finding the Third Proportional to 374,856 and 826,512

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Solution

The third proportional to 374,856 and 826,512 is: 1,822,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,856 : 826,512 = 826,512 : x
  2. Step 2: Convert to fraction form
    374,856/826,512 = 826,512/x
  3. Step 3: Cross multiply
    374,856x = 826,512 × 826,512
  4. Step 4: Simplify right side
    374,856x = 683,122,086,144
  5. Step 5: Solve for x
    x = 683,122,086,144/374,856
  6. Step 6: Final answer
    x = 1,822,358.68

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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.