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Finding the Third Proportional to 416,104 and 897,258

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Solution

The third proportional to 416,104 and 897,258 is: 1,934,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,104 : 897,258 = 897,258 : x
  2. Step 2: Convert to fraction form
    416,104/897,258 = 897,258/x
  3. Step 3: Cross multiply
    416,104x = 897,258 × 897,258
  4. Step 4: Simplify right side
    416,104x = 805,071,918,564
  5. Step 5: Solve for x
    x = 805,071,918,564/416,104
  6. Step 6: Final answer
    x = 1,934,785.34

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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.