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Finding the Third Proportional to 422,168 and 896,152

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Solution

The third proportional to 422,168 and 896,152 is: 1,902,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,168 : 896,152 = 896,152 : x
  2. Step 2: Convert to fraction form
    422,168/896,152 = 896,152/x
  3. Step 3: Cross multiply
    422,168x = 896,152 × 896,152
  4. Step 4: Simplify right side
    422,168x = 803,088,407,104
  5. Step 5: Solve for x
    x = 803,088,407,104/422,168
  6. Step 6: Final answer
    x = 1,902,295.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.