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Finding the Third Proportional to 521,877 and 1,112,099

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Solution

The third proportional to 521,877 and 1,112,099 is: 2,369,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,877 : 1,112,099 = 1,112,099 : x
  2. Step 2: Convert to fraction form
    521,877/1,112,099 = 1,112,099/x
  3. Step 3: Cross multiply
    521,877x = 1,112,099 × 1,112,099
  4. Step 4: Simplify right side
    521,877x = 1,236,764,185,801
  5. Step 5: Solve for x
    x = 1,236,764,185,801/521,877
  6. Step 6: Final answer
    x = 2,369,838.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.