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Finding the Third Proportional to 667,888 and 1,463,120

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Solution

The third proportional to 667,888 and 1,463,120 is: 3,205,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,888 : 1,463,120 = 1,463,120 : x
  2. Step 2: Convert to fraction form
    667,888/1,463,120 = 1,463,120/x
  3. Step 3: Cross multiply
    667,888x = 1,463,120 × 1,463,120
  4. Step 4: Simplify right side
    667,888x = 2,140,720,134,400
  5. Step 5: Solve for x
    x = 2,140,720,134,400/667,888
  6. Step 6: Final answer
    x = 3,205,208.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.