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Finding the Third Proportional to 605,872.41 and 897,110.44

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Solution

The third proportional to 605,872.41 and 897,110.44 is: 1,328,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,872.41 : 897,110.44 = 897,110.44 : x
  2. Step 2: Convert to fraction form
    605,872.41/897,110.44 = 897,110.44/x
  3. Step 3: Cross multiply
    605,872.41x = 897,110.44 × 897,110.44
  4. Step 4: Simplify right side
    605,872.41x = 804,807,137,071.44
  5. Step 5: Solve for x
    x = 804,807,137,071.44/605,872.41
  6. Step 6: Final answer
    x = 1,328,344.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.