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Finding the Third Proportional to 467,150 and 1,024,731

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Solution

The third proportional to 467,150 and 1,024,731 is: 2,247,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,150 : 1,024,731 = 1,024,731 : x
  2. Step 2: Convert to fraction form
    467,150/1,024,731 = 1,024,731/x
  3. Step 3: Cross multiply
    467,150x = 1,024,731 × 1,024,731
  4. Step 4: Simplify right side
    467,150x = 1,050,073,622,361
  5. Step 5: Solve for x
    x = 1,050,073,622,361/467,150
  6. Step 6: Final answer
    x = 2,247,829.65

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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.