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Finding the Third Proportional to 416,178 and 897,912

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Solution

The third proportional to 416,178 and 897,912 is: 1,937,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,178 : 897,912 = 897,912 : x
  2. Step 2: Convert to fraction form
    416,178/897,912 = 897,912/x
  3. Step 3: Cross multiply
    416,178x = 897,912 × 897,912
  4. Step 4: Simplify right side
    416,178x = 806,245,959,744
  5. Step 5: Solve for x
    x = 806,245,959,744/416,178
  6. Step 6: Final answer
    x = 1,937,262.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.