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Finding the Third Proportional to 491,185.69 and 1,057,068.56

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Solution

The third proportional to 491,185.69 and 1,057,068.56 is: 2,274,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,185.69 : 1,057,068.56 = 1,057,068.56 : x
  2. Step 2: Convert to fraction form
    491,185.69/1,057,068.56 = 1,057,068.56/x
  3. Step 3: Cross multiply
    491,185.69x = 1,057,068.56 × 1,057,068.56
  4. Step 4: Simplify right side
    491,185.69x = 1,117,393,945,825.82
  5. Step 5: Solve for x
    x = 1,117,393,945,825.82/491,185.69
  6. Step 6: Final answer
    x = 2,274,891.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.