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Finding the Third Proportional to 501,226 and 1,169,568

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Solution

The third proportional to 501,226 and 1,169,568 is: 2,729,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,226 : 1,169,568 = 1,169,568 : x
  2. Step 2: Convert to fraction form
    501,226/1,169,568 = 1,169,568/x
  3. Step 3: Cross multiply
    501,226x = 1,169,568 × 1,169,568
  4. Step 4: Simplify right side
    501,226x = 1,367,889,306,624
  5. Step 5: Solve for x
    x = 1,367,889,306,624/501,226
  6. Step 6: Final answer
    x = 2,729,086.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.