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Finding the Third Proportional to 787,970 and 1,204,827

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Solution

The third proportional to 787,970 and 1,204,827 is: 1,842,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,970 : 1,204,827 = 1,204,827 : x
  2. Step 2: Convert to fraction form
    787,970/1,204,827 = 1,204,827/x
  3. Step 3: Cross multiply
    787,970x = 1,204,827 × 1,204,827
  4. Step 4: Simplify right side
    787,970x = 1,451,608,099,929
  5. Step 5: Solve for x
    x = 1,451,608,099,929/787,970
  6. Step 6: Final answer
    x = 1,842,212.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.