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Finding the Third Proportional to 407,794 and 844,262

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Solution

The third proportional to 407,794 and 844,262 is: 1,747,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,794 : 844,262 = 844,262 : x
  2. Step 2: Convert to fraction form
    407,794/844,262 = 844,262/x
  3. Step 3: Cross multiply
    407,794x = 844,262 × 844,262
  4. Step 4: Simplify right side
    407,794x = 712,778,324,644
  5. Step 5: Solve for x
    x = 712,778,324,644/407,794
  6. Step 6: Final answer
    x = 1,747,888.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.