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Finding the Third Proportional to 408,259 and 886,621

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Solution

The third proportional to 408,259 and 886,621 is: 1,925,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,259 : 886,621 = 886,621 : x
  2. Step 2: Convert to fraction form
    408,259/886,621 = 886,621/x
  3. Step 3: Cross multiply
    408,259x = 886,621 × 886,621
  4. Step 4: Simplify right side
    408,259x = 786,096,797,641
  5. Step 5: Solve for x
    x = 786,096,797,641/408,259
  6. Step 6: Final answer
    x = 1,925,485.53

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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.