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Finding the Third Proportional to 502,112.25 and 1,044,837

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Solution

The third proportional to 502,112.25 and 1,044,837 is: 2,174,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,112.25 : 1,044,837 = 1,044,837 : x
  2. Step 2: Convert to fraction form
    502,112.25/1,044,837 = 1,044,837/x
  3. Step 3: Cross multiply
    502,112.25x = 1,044,837 × 1,044,837
  4. Step 4: Simplify right side
    502,112.25x = 1,091,684,356,569
  5. Step 5: Solve for x
    x = 1,091,684,356,569/502,112.25
  6. Step 6: Final answer
    x = 2,174,183.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.