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Finding the Third Proportional to 609,408 and 1,292,544

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Solution

The third proportional to 609,408 and 1,292,544 is: 2,741,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,408 : 1,292,544 = 1,292,544 : x
  2. Step 2: Convert to fraction form
    609,408/1,292,544 = 1,292,544/x
  3. Step 3: Cross multiply
    609,408x = 1,292,544 × 1,292,544
  4. Step 4: Simplify right side
    609,408x = 1,670,669,991,936
  5. Step 5: Solve for x
    x = 1,670,669,991,936/609,408
  6. Step 6: Final answer
    x = 2,741,463.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.