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Finding the Third Proportional to 472,939.97 and 1,037,855.44

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Solution

The third proportional to 472,939.97 and 1,037,855.44 is: 2,277,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,939.97 : 1,037,855.44 = 1,037,855.44 : x
  2. Step 2: Convert to fraction form
    472,939.97/1,037,855.44 = 1,037,855.44/x
  3. Step 3: Cross multiply
    472,939.97x = 1,037,855.44 × 1,037,855.44
  4. Step 4: Simplify right side
    472,939.97x = 1,077,143,909,148.32
  5. Step 5: Solve for x
    x = 1,077,143,909,148.32/472,939.97
  6. Step 6: Final answer
    x = 2,277,548.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.