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Finding the Third Proportional to 1,325,024 and 2,066,256

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Solution

The third proportional to 1,325,024 and 2,066,256 is: 3,222,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,024 : 2,066,256 = 2,066,256 : x
  2. Step 2: Convert to fraction form
    1,325,024/2,066,256 = 2,066,256/x
  3. Step 3: Cross multiply
    1,325,024x = 2,066,256 × 2,066,256
  4. Step 4: Simplify right side
    1,325,024x = 4,269,413,857,536
  5. Step 5: Solve for x
    x = 4,269,413,857,536/1,325,024
  6. Step 6: Final answer
    x = 3,222,140.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.