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Finding the Third Proportional to 1,139,698 and 2,431,939

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Solution

The third proportional to 1,139,698 and 2,431,939 is: 5,189,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,698 : 2,431,939 = 2,431,939 : x
  2. Step 2: Convert to fraction form
    1,139,698/2,431,939 = 2,431,939/x
  3. Step 3: Cross multiply
    1,139,698x = 2,431,939 × 2,431,939
  4. Step 4: Simplify right side
    1,139,698x = 5,914,327,299,721
  5. Step 5: Solve for x
    x = 5,914,327,299,721/1,139,698
  6. Step 6: Final answer
    x = 5,189,381.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.