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Finding the Third Proportional to 405,227 and 881,806

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Solution

The third proportional to 405,227 and 881,806 is: 1,918,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,227 : 881,806 = 881,806 : x
  2. Step 2: Convert to fraction form
    405,227/881,806 = 881,806/x
  3. Step 3: Cross multiply
    405,227x = 881,806 × 881,806
  4. Step 4: Simplify right side
    405,227x = 777,581,821,636
  5. Step 5: Solve for x
    x = 777,581,821,636/405,227
  6. Step 6: Final answer
    x = 1,918,879.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.