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Finding the Third Proportional to 698,044 and 1,519,694

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Solution

The third proportional to 698,044 and 1,519,694 is: 3,308,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,044 : 1,519,694 = 1,519,694 : x
  2. Step 2: Convert to fraction form
    698,044/1,519,694 = 1,519,694/x
  3. Step 3: Cross multiply
    698,044x = 1,519,694 × 1,519,694
  4. Step 4: Simplify right side
    698,044x = 2,309,469,853,636
  5. Step 5: Solve for x
    x = 2,309,469,853,636/698,044
  6. Step 6: Final answer
    x = 3,308,487.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.