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Finding the Third Proportional to 472,940 and 1,037,857

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Solution

The third proportional to 472,940 and 1,037,857 is: 2,277,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,940 : 1,037,857 = 1,037,857 : x
  2. Step 2: Convert to fraction form
    472,940/1,037,857 = 1,037,857/x
  3. Step 3: Cross multiply
    472,940x = 1,037,857 × 1,037,857
  4. Step 4: Simplify right side
    472,940x = 1,077,147,152,449
  5. Step 5: Solve for x
    x = 1,077,147,152,449/472,940
  6. Step 6: Final answer
    x = 2,277,555.61

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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.