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Finding the Third Proportional to 892,456 and 1,832,433

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Solution

The third proportional to 892,456 and 1,832,433 is: 3,762,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,456 : 1,832,433 = 1,832,433 : x
  2. Step 2: Convert to fraction form
    892,456/1,832,433 = 1,832,433/x
  3. Step 3: Cross multiply
    892,456x = 1,832,433 × 1,832,433
  4. Step 4: Simplify right side
    892,456x = 3,357,810,699,489
  5. Step 5: Solve for x
    x = 3,357,810,699,489/892,456
  6. Step 6: Final answer
    x = 3,762,438.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.