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Finding the Third Proportional to 1,533,024 and 3,224,949

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Solution

The third proportional to 1,533,024 and 3,224,949 is: 6,784,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,024 : 3,224,949 = 3,224,949 : x
  2. Step 2: Convert to fraction form
    1,533,024/3,224,949 = 3,224,949/x
  3. Step 3: Cross multiply
    1,533,024x = 3,224,949 × 3,224,949
  4. Step 4: Simplify right side
    1,533,024x = 10,400,296,052,601
  5. Step 5: Solve for x
    x = 10,400,296,052,601/1,533,024
  6. Step 6: Final answer
    x = 6,784,170.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.