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Finding the Third Proportional to 383,864 and 826,046

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Solution

The third proportional to 383,864 and 826,046 is: 1,777,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,864 : 826,046 = 826,046 : x
  2. Step 2: Convert to fraction form
    383,864/826,046 = 826,046/x
  3. Step 3: Cross multiply
    383,864x = 826,046 × 826,046
  4. Step 4: Simplify right side
    383,864x = 682,351,994,116
  5. Step 5: Solve for x
    x = 682,351,994,116/383,864
  6. Step 6: Final answer
    x = 1,777,587.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.