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Finding the Third Proportional to 455,041.23 and 981,036.09

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Solution

The third proportional to 455,041.23 and 981,036.09 is: 2,115,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,041.23 : 981,036.09 = 981,036.09 : x
  2. Step 2: Convert to fraction form
    455,041.23/981,036.09 = 981,036.09/x
  3. Step 3: Cross multiply
    455,041.23x = 981,036.09 × 981,036.09
  4. Step 4: Simplify right side
    455,041.23x = 962,431,805,743.73
  5. Step 5: Solve for x
    x = 962,431,805,743.73/455,041.23
  6. Step 6: Final answer
    x = 2,115,043.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.