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Finding the Third Proportional to 613,398 and 1,334,796

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Solution

The third proportional to 613,398 and 1,334,796 is: 2,904,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,398 : 1,334,796 = 1,334,796 : x
  2. Step 2: Convert to fraction form
    613,398/1,334,796 = 1,334,796/x
  3. Step 3: Cross multiply
    613,398x = 1,334,796 × 1,334,796
  4. Step 4: Simplify right side
    613,398x = 1,781,680,361,616
  5. Step 5: Solve for x
    x = 1,781,680,361,616/613,398
  6. Step 6: Final answer
    x = 2,904,607.39

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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.