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Finding the Third Proportional to 2,177,568 and 3,204,144

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Solution

The third proportional to 2,177,568 and 3,204,144 is: 4,714,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,568 : 3,204,144 = 3,204,144 : x
  2. Step 2: Convert to fraction form
    2,177,568/3,204,144 = 3,204,144/x
  3. Step 3: Cross multiply
    2,177,568x = 3,204,144 × 3,204,144
  4. Step 4: Simplify right side
    2,177,568x = 10,266,538,772,736
  5. Step 5: Solve for x
    x = 10,266,538,772,736/2,177,568
  6. Step 6: Final answer
    x = 4,714,681.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.