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Finding the Third Proportional to 383,078 and 833,170

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Solution

The third proportional to 383,078 and 833,170 is: 1,812,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,078 : 833,170 = 833,170 : x
  2. Step 2: Convert to fraction form
    383,078/833,170 = 833,170/x
  3. Step 3: Cross multiply
    383,078x = 833,170 × 833,170
  4. Step 4: Simplify right side
    383,078x = 694,172,248,900
  5. Step 5: Solve for x
    x = 694,172,248,900/383,078
  6. Step 6: Final answer
    x = 1,812,091.14

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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.