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Finding the Third Proportional to 496,476 and 1,062,936

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Solution

The third proportional to 496,476 and 1,062,936 is: 2,275,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,476 : 1,062,936 = 1,062,936 : x
  2. Step 2: Convert to fraction form
    496,476/1,062,936 = 1,062,936/x
  3. Step 3: Cross multiply
    496,476x = 1,062,936 × 1,062,936
  4. Step 4: Simplify right side
    496,476x = 1,129,832,940,096
  5. Step 5: Solve for x
    x = 1,129,832,940,096/496,476
  6. Step 6: Final answer
    x = 2,275,705.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.