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Finding the Third Proportional to 902,882 and 2,019,652

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Solution

The third proportional to 902,882 and 2,019,652 is: 4,517,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,882 : 2,019,652 = 2,019,652 : x
  2. Step 2: Convert to fraction form
    902,882/2,019,652 = 2,019,652/x
  3. Step 3: Cross multiply
    902,882x = 2,019,652 × 2,019,652
  4. Step 4: Simplify right side
    902,882x = 4,078,994,201,104
  5. Step 5: Solve for x
    x = 4,078,994,201,104/902,882
  6. Step 6: Final answer
    x = 4,517,748.94

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.