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Finding the Third Proportional to 681,217 and 1,605,818

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Solution

The third proportional to 681,217 and 1,605,818 is: 3,785,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,217 : 1,605,818 = 1,605,818 : x
  2. Step 2: Convert to fraction form
    681,217/1,605,818 = 1,605,818/x
  3. Step 3: Cross multiply
    681,217x = 1,605,818 × 1,605,818
  4. Step 4: Simplify right side
    681,217x = 2,578,651,449,124
  5. Step 5: Solve for x
    x = 2,578,651,449,124/681,217
  6. Step 6: Final answer
    x = 3,785,359.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.