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Finding the Third Proportional to 408,130 and 886,167

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Solution

The third proportional to 408,130 and 886,167 is: 1,924,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,130 : 886,167 = 886,167 : x
  2. Step 2: Convert to fraction form
    408,130/886,167 = 886,167/x
  3. Step 3: Cross multiply
    408,130x = 886,167 × 886,167
  4. Step 4: Simplify right side
    408,130x = 785,291,951,889
  5. Step 5: Solve for x
    x = 785,291,951,889/408,130
  6. Step 6: Final answer
    x = 1,924,122.10

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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.