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Finding the Third Proportional to 419,056 and 905,093

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Solution

The third proportional to 419,056 and 905,093 is: 1,954,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,056 : 905,093 = 905,093 : x
  2. Step 2: Convert to fraction form
    419,056/905,093 = 905,093/x
  3. Step 3: Cross multiply
    419,056x = 905,093 × 905,093
  4. Step 4: Simplify right side
    419,056x = 819,193,338,649
  5. Step 5: Solve for x
    x = 819,193,338,649/419,056
  6. Step 6: Final answer
    x = 1,954,854.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.