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Finding the Third Proportional to 416,174 and 897,904

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Solution

The third proportional to 416,174 and 897,904 is: 1,937,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,174 : 897,904 = 897,904 : x
  2. Step 2: Convert to fraction form
    416,174/897,904 = 897,904/x
  3. Step 3: Cross multiply
    416,174x = 897,904 × 897,904
  4. Step 4: Simplify right side
    416,174x = 806,231,593,216
  5. Step 5: Solve for x
    x = 806,231,593,216/416,174
  6. Step 6: Final answer
    x = 1,937,246.42

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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.