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Finding the Third Proportional to 496,862 and 1,072,456

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Solution

The third proportional to 496,862 and 1,072,456 is: 2,314,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,862 : 1,072,456 = 1,072,456 : x
  2. Step 2: Convert to fraction form
    496,862/1,072,456 = 1,072,456/x
  3. Step 3: Cross multiply
    496,862x = 1,072,456 × 1,072,456
  4. Step 4: Simplify right side
    496,862x = 1,150,161,871,936
  5. Step 5: Solve for x
    x = 1,150,161,871,936/496,862
  6. Step 6: Final answer
    x = 2,314,851.75

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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.