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Finding the Third Proportional to 605,770 and 886,622

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Solution

The third proportional to 605,770 and 886,622 is: 1,297,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,770 : 886,622 = 886,622 : x
  2. Step 2: Convert to fraction form
    605,770/886,622 = 886,622/x
  3. Step 3: Cross multiply
    605,770x = 886,622 × 886,622
  4. Step 4: Simplify right side
    605,770x = 786,098,570,884
  5. Step 5: Solve for x
    x = 786,098,570,884/605,770
  6. Step 6: Final answer
    x = 1,297,684.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.