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Finding the Third Proportional to 405,589 and 938,909

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Solution

The third proportional to 405,589 and 938,909 is: 2,173,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,589 : 938,909 = 938,909 : x
  2. Step 2: Convert to fraction form
    405,589/938,909 = 938,909/x
  3. Step 3: Cross multiply
    405,589x = 938,909 × 938,909
  4. Step 4: Simplify right side
    405,589x = 881,550,110,281
  5. Step 5: Solve for x
    x = 881,550,110,281/405,589
  6. Step 6: Final answer
    x = 2,173,505.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.