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Finding the Third Proportional to 451,017 and 979,794

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Solution

The third proportional to 451,017 and 979,794 is: 2,128,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,017 : 979,794 = 979,794 : x
  2. Step 2: Convert to fraction form
    451,017/979,794 = 979,794/x
  3. Step 3: Cross multiply
    451,017x = 979,794 × 979,794
  4. Step 4: Simplify right side
    451,017x = 959,996,282,436
  5. Step 5: Solve for x
    x = 959,996,282,436/451,017
  6. Step 6: Final answer
    x = 2,128,514.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.