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Finding the Third Proportional to 386,037 and 850,599

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Solution

The third proportional to 386,037 and 850,599 is: 1,874,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,037 : 850,599 = 850,599 : x
  2. Step 2: Convert to fraction form
    386,037/850,599 = 850,599/x
  3. Step 3: Cross multiply
    386,037x = 850,599 × 850,599
  4. Step 4: Simplify right side
    386,037x = 723,518,658,801
  5. Step 5: Solve for x
    x = 723,518,658,801/386,037
  6. Step 6: Final answer
    x = 1,874,221.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.