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Finding the Third Proportional to 1,841,344 and 3,938,544

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Solution

The third proportional to 1,841,344 and 3,938,544 is: 8,424,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,344 : 3,938,544 = 3,938,544 : x
  2. Step 2: Convert to fraction form
    1,841,344/3,938,544 = 3,938,544/x
  3. Step 3: Cross multiply
    1,841,344x = 3,938,544 × 3,938,544
  4. Step 4: Simplify right side
    1,841,344x = 15,512,128,839,936
  5. Step 5: Solve for x
    x = 15,512,128,839,936/1,841,344
  6. Step 6: Final answer
    x = 8,424,351.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.