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Finding the Third Proportional to 471,378 and 1,024,722

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Solution

The third proportional to 471,378 and 1,024,722 is: 2,227,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,378 : 1,024,722 = 1,024,722 : x
  2. Step 2: Convert to fraction form
    471,378/1,024,722 = 1,024,722/x
  3. Step 3: Cross multiply
    471,378x = 1,024,722 × 1,024,722
  4. Step 4: Simplify right side
    471,378x = 1,050,055,177,284
  5. Step 5: Solve for x
    x = 1,050,055,177,284/471,378
  6. Step 6: Final answer
    x = 2,227,628.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.