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Finding the Third Proportional to 183,926 and 410,909

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Solution

The third proportional to 183,926 and 410,909 is: 918,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,926 : 410,909 = 410,909 : x
  2. Step 2: Convert to fraction form
    183,926/410,909 = 410,909/x
  3. Step 3: Cross multiply
    183,926x = 410,909 × 410,909
  4. Step 4: Simplify right side
    183,926x = 168,846,206,281
  5. Step 5: Solve for x
    x = 168,846,206,281/183,926
  6. Step 6: Final answer
    x = 918,011.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.