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Finding the Third Proportional to 3,760,128 and 5,648,544

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Solution

The third proportional to 3,760,128 and 5,648,544 is: 8,485,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760,128 : 5,648,544 = 5,648,544 : x
  2. Step 2: Convert to fraction form
    3,760,128/5,648,544 = 5,648,544/x
  3. Step 3: Cross multiply
    3,760,128x = 5,648,544 × 5,648,544
  4. Step 4: Simplify right side
    3,760,128x = 31,906,049,319,936
  5. Step 5: Solve for x
    x = 31,906,049,319,936/3,760,128
  6. Step 6: Final answer
    x = 8,485,362.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.