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Finding the Third Proportional to 386,602 and 833,078

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Solution

The third proportional to 386,602 and 833,078 is: 1,795,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,602 : 833,078 = 833,078 : x
  2. Step 2: Convert to fraction form
    386,602/833,078 = 833,078/x
  3. Step 3: Cross multiply
    386,602x = 833,078 × 833,078
  4. Step 4: Simplify right side
    386,602x = 694,018,954,084
  5. Step 5: Solve for x
    x = 694,018,954,084/386,602
  6. Step 6: Final answer
    x = 1,795,176.83

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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.