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Finding the Third Proportional to 416,268 and 902,521

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Solution

The third proportional to 416,268 and 902,521 is: 1,956,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,268 : 902,521 = 902,521 : x
  2. Step 2: Convert to fraction form
    416,268/902,521 = 902,521/x
  3. Step 3: Cross multiply
    416,268x = 902,521 × 902,521
  4. Step 4: Simplify right side
    416,268x = 814,544,155,441
  5. Step 5: Solve for x
    x = 814,544,155,441/416,268
  6. Step 6: Final answer
    x = 1,956,778.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.