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Finding the Third Proportional to 450,003 and 950,589

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Solution

The third proportional to 450,003 and 950,589 is: 2,008,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,003 : 950,589 = 950,589 : x
  2. Step 2: Convert to fraction form
    450,003/950,589 = 950,589/x
  3. Step 3: Cross multiply
    450,003x = 950,589 × 950,589
  4. Step 4: Simplify right side
    450,003x = 903,619,446,921
  5. Step 5: Solve for x
    x = 903,619,446,921/450,003
  6. Step 6: Final answer
    x = 2,008,029.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.