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Finding the Third Proportional to 521,844 and 1,132,912

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Solution

The third proportional to 521,844 and 1,132,912 is: 2,459,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,844 : 1,132,912 = 1,132,912 : x
  2. Step 2: Convert to fraction form
    521,844/1,132,912 = 1,132,912/x
  3. Step 3: Cross multiply
    521,844x = 1,132,912 × 1,132,912
  4. Step 4: Simplify right side
    521,844x = 1,283,489,599,744
  5. Step 5: Solve for x
    x = 1,283,489,599,744/521,844
  6. Step 6: Final answer
    x = 2,459,527.37

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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.