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Finding the Third Proportional to 609,420 and 1,292,568

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Solution

The third proportional to 609,420 and 1,292,568 is: 2,741,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,420 : 1,292,568 = 1,292,568 : x
  2. Step 2: Convert to fraction form
    609,420/1,292,568 = 1,292,568/x
  3. Step 3: Cross multiply
    609,420x = 1,292,568 × 1,292,568
  4. Step 4: Simplify right side
    609,420x = 1,670,732,034,624
  5. Step 5: Solve for x
    x = 1,670,732,034,624/609,420
  6. Step 6: Final answer
    x = 2,741,511.66

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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.