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Finding the Third Proportional to 598,920 and 1,308,876

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Solution

The third proportional to 598,920 and 1,308,876 is: 2,860,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,920 : 1,308,876 = 1,308,876 : x
  2. Step 2: Convert to fraction form
    598,920/1,308,876 = 1,308,876/x
  3. Step 3: Cross multiply
    598,920x = 1,308,876 × 1,308,876
  4. Step 4: Simplify right side
    598,920x = 1,713,156,383,376
  5. Step 5: Solve for x
    x = 1,713,156,383,376/598,920
  6. Step 6: Final answer
    x = 2,860,409.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.