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Finding the Third Proportional to 591,141 and 1,270,977

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Solution

The third proportional to 591,141 and 1,270,977 is: 2,732,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,141 : 1,270,977 = 1,270,977 : x
  2. Step 2: Convert to fraction form
    591,141/1,270,977 = 1,270,977/x
  3. Step 3: Cross multiply
    591,141x = 1,270,977 × 1,270,977
  4. Step 4: Simplify right side
    591,141x = 1,615,382,534,529
  5. Step 5: Solve for x
    x = 1,615,382,534,529/591,141
  6. Step 6: Final answer
    x = 2,732,651.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.