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Finding the Third Proportional to 394,454 and 851,944

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Solution

The third proportional to 394,454 and 851,944 is: 1,840,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,454 : 851,944 = 851,944 : x
  2. Step 2: Convert to fraction form
    394,454/851,944 = 851,944/x
  3. Step 3: Cross multiply
    394,454x = 851,944 × 851,944
  4. Step 4: Simplify right side
    394,454x = 725,808,579,136
  5. Step 5: Solve for x
    x = 725,808,579,136/394,454
  6. Step 6: Final answer
    x = 1,840,033.51

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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.