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Finding the Third Proportional to 467,812 and 1,010,456

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Solution

The third proportional to 467,812 and 1,010,456 is: 2,182,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,812 : 1,010,456 = 1,010,456 : x
  2. Step 2: Convert to fraction form
    467,812/1,010,456 = 1,010,456/x
  3. Step 3: Cross multiply
    467,812x = 1,010,456 × 1,010,456
  4. Step 4: Simplify right side
    467,812x = 1,021,021,327,936
  5. Step 5: Solve for x
    x = 1,021,021,327,936/467,812
  6. Step 6: Final answer
    x = 2,182,546.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.