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Finding the Third Proportional to 419,122 and 857,611

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Solution

The third proportional to 419,122 and 857,611 is: 1,754,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,122 : 857,611 = 857,611 : x
  2. Step 2: Convert to fraction form
    419,122/857,611 = 857,611/x
  3. Step 3: Cross multiply
    419,122x = 857,611 × 857,611
  4. Step 4: Simplify right side
    419,122x = 735,496,627,321
  5. Step 5: Solve for x
    x = 735,496,627,321/419,122
  6. Step 6: Final answer
    x = 1,754,850.92

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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.