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Finding the Third Proportional to 408,099 and 886,089

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Solution

The third proportional to 408,099 and 886,089 is: 1,923,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,099 : 886,089 = 886,089 : x
  2. Step 2: Convert to fraction form
    408,099/886,089 = 886,089/x
  3. Step 3: Cross multiply
    408,099x = 886,089 × 886,089
  4. Step 4: Simplify right side
    408,099x = 785,153,715,921
  5. Step 5: Solve for x
    x = 785,153,715,921/408,099
  6. Step 6: Final answer
    x = 1,923,929.53

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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.