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Finding the Third Proportional to 387,107 and 833,538

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Solution

The third proportional to 387,107 and 833,538 is: 1,794,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,107 : 833,538 = 833,538 : x
  2. Step 2: Convert to fraction form
    387,107/833,538 = 833,538/x
  3. Step 3: Cross multiply
    387,107x = 833,538 × 833,538
  4. Step 4: Simplify right side
    387,107x = 694,785,597,444
  5. Step 5: Solve for x
    x = 694,785,597,444/387,107
  6. Step 6: Final answer
    x = 1,794,815.38

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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.