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Finding the Third Proportional to 410,256 and 886,122

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Solution

The third proportional to 410,256 and 886,122 is: 1,913,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,256 : 886,122 = 886,122 : x
  2. Step 2: Convert to fraction form
    410,256/886,122 = 886,122/x
  3. Step 3: Cross multiply
    410,256x = 886,122 × 886,122
  4. Step 4: Simplify right side
    410,256x = 785,212,198,884
  5. Step 5: Solve for x
    x = 785,212,198,884/410,256
  6. Step 6: Final answer
    x = 1,913,956.65

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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.