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Finding the Third Proportional to 515,406 and 1,044,662

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Solution

The third proportional to 515,406 and 1,044,662 is: 2,117,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,406 : 1,044,662 = 1,044,662 : x
  2. Step 2: Convert to fraction form
    515,406/1,044,662 = 1,044,662/x
  3. Step 3: Cross multiply
    515,406x = 1,044,662 × 1,044,662
  4. Step 4: Simplify right side
    515,406x = 1,091,318,694,244
  5. Step 5: Solve for x
    x = 1,091,318,694,244/515,406
  6. Step 6: Final answer
    x = 2,117,396.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.