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Finding the Third Proportional to 609,696 and 822,450

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Solution

The third proportional to 609,696 and 822,450 is: 1,109,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,696 : 822,450 = 822,450 : x
  2. Step 2: Convert to fraction form
    609,696/822,450 = 822,450/x
  3. Step 3: Cross multiply
    609,696x = 822,450 × 822,450
  4. Step 4: Simplify right side
    609,696x = 676,424,002,500
  5. Step 5: Solve for x
    x = 676,424,002,500/609,696
  6. Step 6: Final answer
    x = 1,109,444.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.