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Finding the Third Proportional to 394,492 and 862,796

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Solution

The third proportional to 394,492 and 862,796 is: 1,887,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,492 : 862,796 = 862,796 : x
  2. Step 2: Convert to fraction form
    394,492/862,796 = 862,796/x
  3. Step 3: Cross multiply
    394,492x = 862,796 × 862,796
  4. Step 4: Simplify right side
    394,492x = 744,416,937,616
  5. Step 5: Solve for x
    x = 744,416,937,616/394,492
  6. Step 6: Final answer
    x = 1,887,026.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.