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Finding the Third Proportional to 387,134 and 833,593

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Solution

The third proportional to 387,134 and 833,593 is: 1,794,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,134 : 833,593 = 833,593 : x
  2. Step 2: Convert to fraction form
    387,134/833,593 = 833,593/x
  3. Step 3: Cross multiply
    387,134x = 833,593 × 833,593
  4. Step 4: Simplify right side
    387,134x = 694,877,289,649
  5. Step 5: Solve for x
    x = 694,877,289,649/387,134
  6. Step 6: Final answer
    x = 1,794,927.05

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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.