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Finding the Third Proportional to 502,584 and 1,093,812

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Solution

The third proportional to 502,584 and 1,093,812 is: 2,380,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,584 : 1,093,812 = 1,093,812 : x
  2. Step 2: Convert to fraction form
    502,584/1,093,812 = 1,093,812/x
  3. Step 3: Cross multiply
    502,584x = 1,093,812 × 1,093,812
  4. Step 4: Simplify right side
    502,584x = 1,196,424,691,344
  5. Step 5: Solve for x
    x = 1,196,424,691,344/502,584
  6. Step 6: Final answer
    x = 2,380,546.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.