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Finding the Third Proportional to 787,853 and 1,222,247

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Solution

The third proportional to 787,853 and 1,222,247 is: 1,896,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,853 : 1,222,247 = 1,222,247 : x
  2. Step 2: Convert to fraction form
    787,853/1,222,247 = 1,222,247/x
  3. Step 3: Cross multiply
    787,853x = 1,222,247 × 1,222,247
  4. Step 4: Simplify right side
    787,853x = 1,493,887,729,009
  5. Step 5: Solve for x
    x = 1,493,887,729,009/787,853
  6. Step 6: Final answer
    x = 1,896,150.33

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Why These Related Problems?

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