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Finding the Third Proportional to 409,253 and 892,843

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Solution

The third proportional to 409,253 and 892,843 is: 1,947,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,253 : 892,843 = 892,843 : x
  2. Step 2: Convert to fraction form
    409,253/892,843 = 892,843/x
  3. Step 3: Cross multiply
    409,253x = 892,843 × 892,843
  4. Step 4: Simplify right side
    409,253x = 797,168,622,649
  5. Step 5: Solve for x
    x = 797,168,622,649/409,253
  6. Step 6: Final answer
    x = 1,947,862.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.