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Finding the Third Proportional to 488,104 and 1,055,165

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Solution

The third proportional to 488,104 and 1,055,165 is: 2,281,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,104 : 1,055,165 = 1,055,165 : x
  2. Step 2: Convert to fraction form
    488,104/1,055,165 = 1,055,165/x
  3. Step 3: Cross multiply
    488,104x = 1,055,165 × 1,055,165
  4. Step 4: Simplify right side
    488,104x = 1,113,373,177,225
  5. Step 5: Solve for x
    x = 1,113,373,177,225/488,104
  6. Step 6: Final answer
    x = 2,281,016.29

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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.