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Finding the Third Proportional to 405,229 and 881,811

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Solution

The third proportional to 405,229 and 881,811 is: 1,918,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,229 : 881,811 = 881,811 : x
  2. Step 2: Convert to fraction form
    405,229/881,811 = 881,811/x
  3. Step 3: Cross multiply
    405,229x = 881,811 × 881,811
  4. Step 4: Simplify right side
    405,229x = 777,590,639,721
  5. Step 5: Solve for x
    x = 777,590,639,721/405,229
  6. Step 6: Final answer
    x = 1,918,891.89

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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.