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Finding the Third Proportional to 472,212 and 1,011,794

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Solution

The third proportional to 472,212 and 1,011,794 is: 2,167,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,212 : 1,011,794 = 1,011,794 : x
  2. Step 2: Convert to fraction form
    472,212/1,011,794 = 1,011,794/x
  3. Step 3: Cross multiply
    472,212x = 1,011,794 × 1,011,794
  4. Step 4: Simplify right side
    472,212x = 1,023,727,098,436
  5. Step 5: Solve for x
    x = 1,023,727,098,436/472,212
  6. Step 6: Final answer
    x = 2,167,939.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.