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Finding the Third Proportional to 784,514 and 1,212,274

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Solution

The third proportional to 784,514 and 1,212,274 is: 1,873,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,514 : 1,212,274 = 1,212,274 : x
  2. Step 2: Convert to fraction form
    784,514/1,212,274 = 1,212,274/x
  3. Step 3: Cross multiply
    784,514x = 1,212,274 × 1,212,274
  4. Step 4: Simplify right side
    784,514x = 1,469,608,251,076
  5. Step 5: Solve for x
    x = 1,469,608,251,076/784,514
  6. Step 6: Final answer
    x = 1,873,272.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.