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Finding the Third Proportional to 989,876 and 1,543,971

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Solution

The third proportional to 989,876 and 1,543,971 is: 2,408,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,876 : 1,543,971 = 1,543,971 : x
  2. Step 2: Convert to fraction form
    989,876/1,543,971 = 1,543,971/x
  3. Step 3: Cross multiply
    989,876x = 1,543,971 × 1,543,971
  4. Step 4: Simplify right side
    989,876x = 2,383,846,448,841
  5. Step 5: Solve for x
    x = 2,383,846,448,841/989,876
  6. Step 6: Final answer
    x = 2,408,227.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.