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Finding the Third Proportional to 419,121 and 857,609

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Solution

The third proportional to 419,121 and 857,609 is: 1,754,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,121 : 857,609 = 857,609 : x
  2. Step 2: Convert to fraction form
    419,121/857,609 = 857,609/x
  3. Step 3: Cross multiply
    419,121x = 857,609 × 857,609
  4. Step 4: Simplify right side
    419,121x = 735,493,196,881
  5. Step 5: Solve for x
    x = 735,493,196,881/419,121
  6. Step 6: Final answer
    x = 1,754,846.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.