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Finding the Third Proportional to 374,832 and 826,464

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Solution

The third proportional to 374,832 and 826,464 is: 1,822,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,832 : 826,464 = 826,464 : x
  2. Step 2: Convert to fraction form
    374,832/826,464 = 826,464/x
  3. Step 3: Cross multiply
    374,832x = 826,464 × 826,464
  4. Step 4: Simplify right side
    374,832x = 683,042,743,296
  5. Step 5: Solve for x
    x = 683,042,743,296/374,832
  6. Step 6: Final answer
    x = 1,822,263.69

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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.