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Finding the Third Proportional to 467,145 and 1,024,722

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Solution

The third proportional to 467,145 and 1,024,722 is: 2,247,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,145 : 1,024,722 = 1,024,722 : x
  2. Step 2: Convert to fraction form
    467,145/1,024,722 = 1,024,722/x
  3. Step 3: Cross multiply
    467,145x = 1,024,722 × 1,024,722
  4. Step 4: Simplify right side
    467,145x = 1,050,055,177,284
  5. Step 5: Solve for x
    x = 1,050,055,177,284/467,145
  6. Step 6: Final answer
    x = 2,247,814.23

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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.