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Finding the Third Proportional to 408,097 and 886,085

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Solution

The third proportional to 408,097 and 886,085 is: 1,923,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097 : 886,085 = 886,085 : x
  2. Step 2: Convert to fraction form
    408,097/886,085 = 886,085/x
  3. Step 3: Cross multiply
    408,097x = 886,085 × 886,085
  4. Step 4: Simplify right side
    408,097x = 785,146,627,225
  5. Step 5: Solve for x
    x = 785,146,627,225/408,097
  6. Step 6: Final answer
    x = 1,923,921.59

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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.