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Finding the Third Proportional to 1,463,366 and 2,184,033

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Solution

The third proportional to 1,463,366 and 2,184,033 is: 3,259,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,366 : 2,184,033 = 2,184,033 : x
  2. Step 2: Convert to fraction form
    1,463,366/2,184,033 = 2,184,033/x
  3. Step 3: Cross multiply
    1,463,366x = 2,184,033 × 2,184,033
  4. Step 4: Simplify right side
    1,463,366x = 4,770,000,145,089
  5. Step 5: Solve for x
    x = 4,770,000,145,089/1,463,366
  6. Step 6: Final answer
    x = 3,259,608.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.