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Finding the Third Proportional to 2,431,839 and 3,730,181

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Solution

The third proportional to 2,431,839 and 3,730,181 is: 5,721,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,839 : 3,730,181 = 3,730,181 : x
  2. Step 2: Convert to fraction form
    2,431,839/3,730,181 = 3,730,181/x
  3. Step 3: Cross multiply
    2,431,839x = 3,730,181 × 3,730,181
  4. Step 4: Simplify right side
    2,431,839x = 13,914,250,292,761
  5. Step 5: Solve for x
    x = 13,914,250,292,761/2,431,839
  6. Step 6: Final answer
    x = 5,721,698.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.