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Finding the Third Proportional to 389,376 and 844,848

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Solution

The third proportional to 389,376 and 844,848 is: 1,833,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,376 : 844,848 = 844,848 : x
  2. Step 2: Convert to fraction form
    389,376/844,848 = 844,848/x
  3. Step 3: Cross multiply
    389,376x = 844,848 × 844,848
  4. Step 4: Simplify right side
    389,376x = 713,768,143,104
  5. Step 5: Solve for x
    x = 713,768,143,104/389,376
  6. Step 6: Final answer
    x = 1,833,107.70

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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.