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Finding the Third Proportional to 384,371 and 827,790

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Solution

The third proportional to 384,371 and 827,790 is: 1,782,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,371 : 827,790 = 827,790 : x
  2. Step 2: Convert to fraction form
    384,371/827,790 = 827,790/x
  3. Step 3: Cross multiply
    384,371x = 827,790 × 827,790
  4. Step 4: Simplify right side
    384,371x = 685,236,284,100
  5. Step 5: Solve for x
    x = 685,236,284,100/384,371
  6. Step 6: Final answer
    x = 1,782,747.10

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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.