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Finding the Third Proportional to 892,446.75 and 1,832,415.75

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Solution

The third proportional to 892,446.75 and 1,832,415.75 is: 3,762,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,446.75 : 1,832,415.75 = 1,832,415.75 : x
  2. Step 2: Convert to fraction form
    892,446.75/1,832,415.75 = 1,832,415.75/x
  3. Step 3: Cross multiply
    892,446.75x = 1,832,415.75 × 1,832,415.75
  4. Step 4: Simplify right side
    892,446.75x = 3,357,747,480,848.06
  5. Step 5: Solve for x
    x = 3,357,747,480,848.06/892,446.75
  6. Step 6: Final answer
    x = 3,762,406.53

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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.