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Finding the Third Proportional to 411,399 and 899,694

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Solution

The third proportional to 411,399 and 899,694 is: 1,967,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,399 : 899,694 = 899,694 : x
  2. Step 2: Convert to fraction form
    411,399/899,694 = 899,694/x
  3. Step 3: Cross multiply
    411,399x = 899,694 × 899,694
  4. Step 4: Simplify right side
    411,399x = 809,449,293,636
  5. Step 5: Solve for x
    x = 809,449,293,636/411,399
  6. Step 6: Final answer
    x = 1,967,552.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.