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Finding the Third Proportional to 613,743 and 1,333,713

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Solution

The third proportional to 613,743 and 1,333,713 is: 2,898,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,743 : 1,333,713 = 1,333,713 : x
  2. Step 2: Convert to fraction form
    613,743/1,333,713 = 1,333,713/x
  3. Step 3: Cross multiply
    613,743x = 1,333,713 × 1,333,713
  4. Step 4: Simplify right side
    613,743x = 1,778,790,366,369
  5. Step 5: Solve for x
    x = 1,778,790,366,369/613,743
  6. Step 6: Final answer
    x = 2,898,265.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.