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Finding the Third Proportional to 524,813 and 1,086,967

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Solution

The third proportional to 524,813 and 1,086,967 is: 2,251,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,813 : 1,086,967 = 1,086,967 : x
  2. Step 2: Convert to fraction form
    524,813/1,086,967 = 1,086,967/x
  3. Step 3: Cross multiply
    524,813x = 1,086,967 × 1,086,967
  4. Step 4: Simplify right side
    524,813x = 1,181,497,259,089
  5. Step 5: Solve for x
    x = 1,181,497,259,089/524,813
  6. Step 6: Final answer
    x = 2,251,272.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.