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Finding the Third Proportional to 419,056 and 932,962

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Solution

The third proportional to 419,056 and 932,962 is: 2,077,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,056 : 932,962 = 932,962 : x
  2. Step 2: Convert to fraction form
    419,056/932,962 = 932,962/x
  3. Step 3: Cross multiply
    419,056x = 932,962 × 932,962
  4. Step 4: Simplify right side
    419,056x = 870,418,093,444
  5. Step 5: Solve for x
    x = 870,418,093,444/419,056
  6. Step 6: Final answer
    x = 2,077,092.54

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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.