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Finding the Third Proportional to 501,231 and 1,085,568

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Solution

The third proportional to 501,231 and 1,085,568 is: 2,351,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,231 : 1,085,568 = 1,085,568 : x
  2. Step 2: Convert to fraction form
    501,231/1,085,568 = 1,085,568/x
  3. Step 3: Cross multiply
    501,231x = 1,085,568 × 1,085,568
  4. Step 4: Simplify right side
    501,231x = 1,178,457,882,624
  5. Step 5: Solve for x
    x = 1,178,457,882,624/501,231
  6. Step 6: Final answer
    x = 2,351,127.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.