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Finding the Third Proportional to 892,695 and 2,106,945

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Solution

The third proportional to 892,695 and 2,106,945 is: 4,972,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,695 : 2,106,945 = 2,106,945 : x
  2. Step 2: Convert to fraction form
    892,695/2,106,945 = 2,106,945/x
  3. Step 3: Cross multiply
    892,695x = 2,106,945 × 2,106,945
  4. Step 4: Simplify right side
    892,695x = 4,439,217,233,025
  5. Step 5: Solve for x
    x = 4,439,217,233,025/892,695
  6. Step 6: Final answer
    x = 4,972,826.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.