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Finding the Third Proportional to 821,208 and 1,228,494

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Solution

The third proportional to 821,208 and 1,228,494 is: 1,837,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,208 : 1,228,494 = 1,228,494 : x
  2. Step 2: Convert to fraction form
    821,208/1,228,494 = 1,228,494/x
  3. Step 3: Cross multiply
    821,208x = 1,228,494 × 1,228,494
  4. Step 4: Simplify right side
    821,208x = 1,509,197,508,036
  5. Step 5: Solve for x
    x = 1,509,197,508,036/821,208
  6. Step 6: Final answer
    x = 1,837,777.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.