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Finding the Third Proportional to 467,568 and 1,022,612

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Solution

The third proportional to 467,568 and 1,022,612 is: 2,236,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,568 : 1,022,612 = 1,022,612 : x
  2. Step 2: Convert to fraction form
    467,568/1,022,612 = 1,022,612/x
  3. Step 3: Cross multiply
    467,568x = 1,022,612 × 1,022,612
  4. Step 4: Simplify right side
    467,568x = 1,045,735,302,544
  5. Step 5: Solve for x
    x = 1,045,735,302,544/467,568
  6. Step 6: Final answer
    x = 2,236,541.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.