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Finding the Third Proportional to 609,619 and 905,617

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Solution

The third proportional to 609,619 and 905,617 is: 1,345,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,619 : 905,617 = 905,617 : x
  2. Step 2: Convert to fraction form
    609,619/905,617 = 905,617/x
  3. Step 3: Cross multiply
    609,619x = 905,617 × 905,617
  4. Step 4: Simplify right side
    609,619x = 820,142,150,689
  5. Step 5: Solve for x
    x = 820,142,150,689/609,619
  6. Step 6: Final answer
    x = 1,345,335.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.