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Finding the Third Proportional to 605,429.44 and 1,284,670.13

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Solution

The third proportional to 605,429.44 and 1,284,670.13 is: 2,725,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,429.44 : 1,284,670.13 = 1,284,670.13 : x
  2. Step 2: Convert to fraction form
    605,429.44/1,284,670.13 = 1,284,670.13/x
  3. Step 3: Cross multiply
    605,429.44x = 1,284,670.13 × 1,284,670.13
  4. Step 4: Simplify right side
    605,429.44x = 1,650,377,330,067.52
  5. Step 5: Solve for x
    x = 1,650,377,330,067.52/605,429.44
  6. Step 6: Final answer
    x = 2,725,961.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.