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Finding the Third Proportional to 609,661 and 1,411,794

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Solution

The third proportional to 609,661 and 1,411,794 is: 3,269,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,661 : 1,411,794 = 1,411,794 : x
  2. Step 2: Convert to fraction form
    609,661/1,411,794 = 1,411,794/x
  3. Step 3: Cross multiply
    609,661x = 1,411,794 × 1,411,794
  4. Step 4: Simplify right side
    609,661x = 1,993,162,298,436
  5. Step 5: Solve for x
    x = 1,993,162,298,436/609,661
  6. Step 6: Final answer
    x = 3,269,296.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.