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Finding the Third Proportional to 2,692,144 and 5,757,824

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Solution

The third proportional to 2,692,144 and 5,757,824 is: 12,314,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,144 : 5,757,824 = 5,757,824 : x
  2. Step 2: Convert to fraction form
    2,692,144/5,757,824 = 5,757,824/x
  3. Step 3: Cross multiply
    2,692,144x = 5,757,824 × 5,757,824
  4. Step 4: Simplify right side
    2,692,144x = 33,152,537,214,976
  5. Step 5: Solve for x
    x = 33,152,537,214,976/2,692,144
  6. Step 6: Final answer
    x = 12,314,548.26

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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.