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Finding the Third Proportional to 613,600 and 929,904

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Solution

The third proportional to 613,600 and 929,904 is: 1,409,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,600 : 929,904 = 929,904 : x
  2. Step 2: Convert to fraction form
    613,600/929,904 = 929,904/x
  3. Step 3: Cross multiply
    613,600x = 929,904 × 929,904
  4. Step 4: Simplify right side
    613,600x = 864,721,449,216
  5. Step 5: Solve for x
    x = 864,721,449,216/613,600
  6. Step 6: Final answer
    x = 1,409,259.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.