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Finding the Third Proportional to 905,009 and 1,787,176

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Solution

The third proportional to 905,009 and 1,787,176 is: 3,529,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,009 : 1,787,176 = 1,787,176 : x
  2. Step 2: Convert to fraction form
    905,009/1,787,176 = 1,787,176/x
  3. Step 3: Cross multiply
    905,009x = 1,787,176 × 1,787,176
  4. Step 4: Simplify right side
    905,009x = 3,193,998,054,976
  5. Step 5: Solve for x
    x = 3,193,998,054,976/905,009
  6. Step 6: Final answer
    x = 3,529,244.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.