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Finding the Third Proportional to 609,623 and 905,601

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Solution

The third proportional to 609,623 and 905,601 is: 1,345,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,623 : 905,601 = 905,601 : x
  2. Step 2: Convert to fraction form
    609,623/905,601 = 905,601/x
  3. Step 3: Cross multiply
    609,623x = 905,601 × 905,601
  4. Step 4: Simplify right side
    609,623x = 820,113,171,201
  5. Step 5: Solve for x
    x = 820,113,171,201/609,623
  6. Step 6: Final answer
    x = 1,345,279.25

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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.