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Finding the Third Proportional to 1,200,848 and 1,826,016

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Solution

The third proportional to 1,200,848 and 1,826,016 is: 2,776,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,848 : 1,826,016 = 1,826,016 : x
  2. Step 2: Convert to fraction form
    1,200,848/1,826,016 = 1,826,016/x
  3. Step 3: Cross multiply
    1,200,848x = 1,826,016 × 1,826,016
  4. Step 4: Simplify right side
    1,200,848x = 3,334,334,432,256
  5. Step 5: Solve for x
    x = 3,334,334,432,256/1,200,848
  6. Step 6: Final answer
    x = 2,776,649.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.