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Finding the Third Proportional to 821,502 and 1,797,606

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Solution

The third proportional to 821,502 and 1,797,606 is: 3,933,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,502 : 1,797,606 = 1,797,606 : x
  2. Step 2: Convert to fraction form
    821,502/1,797,606 = 1,797,606/x
  3. Step 3: Cross multiply
    821,502x = 1,797,606 × 1,797,606
  4. Step 4: Simplify right side
    821,502x = 3,231,387,331,236
  5. Step 5: Solve for x
    x = 3,231,387,331,236/821,502
  6. Step 6: Final answer
    x = 3,933,511.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.