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Finding the Third Proportional to 609,619 and 905,596

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Solution

The third proportional to 609,619 and 905,596 is: 1,345,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,619 : 905,596 = 905,596 : x
  2. Step 2: Convert to fraction form
    609,619/905,596 = 905,596/x
  3. Step 3: Cross multiply
    609,619x = 905,596 × 905,596
  4. Step 4: Simplify right side
    609,619x = 820,104,115,216
  5. Step 5: Solve for x
    x = 820,104,115,216/609,619
  6. Step 6: Final answer
    x = 1,345,273.22

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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.