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Finding the Third Proportional to 613,434 and 1,348,692

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Solution

The third proportional to 613,434 and 1,348,692 is: 2,965,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,434 : 1,348,692 = 1,348,692 : x
  2. Step 2: Convert to fraction form
    613,434/1,348,692 = 1,348,692/x
  3. Step 3: Cross multiply
    613,434x = 1,348,692 × 1,348,692
  4. Step 4: Simplify right side
    613,434x = 1,818,970,110,864
  5. Step 5: Solve for x
    x = 1,818,970,110,864/613,434
  6. Step 6: Final answer
    x = 2,965,225.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.