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Finding the Third Proportional to 481,536 and 1,025,268

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Solution

The third proportional to 481,536 and 1,025,268 is: 2,182,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,536 : 1,025,268 = 1,025,268 : x
  2. Step 2: Convert to fraction form
    481,536/1,025,268 = 1,025,268/x
  3. Step 3: Cross multiply
    481,536x = 1,025,268 × 1,025,268
  4. Step 4: Simplify right side
    481,536x = 1,051,174,471,824
  5. Step 5: Solve for x
    x = 1,051,174,471,824/481,536
  6. Step 6: Final answer
    x = 2,182,961.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.