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Finding the Third Proportional to 394,466 and 852,014

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Solution

The third proportional to 394,466 and 852,014 is: 1,840,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,466 : 852,014 = 852,014 : x
  2. Step 2: Convert to fraction form
    394,466/852,014 = 852,014/x
  3. Step 3: Cross multiply
    394,466x = 852,014 × 852,014
  4. Step 4: Simplify right side
    394,466x = 725,927,856,196
  5. Step 5: Solve for x
    x = 725,927,856,196/394,466
  6. Step 6: Final answer
    x = 1,840,279.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.