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Finding the Third Proportional to 376,026 and 826,464

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Solution

The third proportional to 376,026 and 826,464 is: 1,816,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,026 : 826,464 = 826,464 : x
  2. Step 2: Convert to fraction form
    376,026/826,464 = 826,464/x
  3. Step 3: Cross multiply
    376,026x = 826,464 × 826,464
  4. Step 4: Simplify right side
    376,026x = 683,042,743,296
  5. Step 5: Solve for x
    x = 683,042,743,296/376,026
  6. Step 6: Final answer
    x = 1,816,477.43

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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.