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Finding the Third Proportional to 383,104 and 823,860

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Solution

The third proportional to 383,104 and 823,860 is: 1,771,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,104 : 823,860 = 823,860 : x
  2. Step 2: Convert to fraction form
    383,104/823,860 = 823,860/x
  3. Step 3: Cross multiply
    383,104x = 823,860 × 823,860
  4. Step 4: Simplify right side
    383,104x = 678,745,299,600
  5. Step 5: Solve for x
    x = 678,745,299,600/383,104
  6. Step 6: Final answer
    x = 1,771,699.85

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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.