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Finding the Third Proportional to 1,214,847 and 1,885,941

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Solution

The third proportional to 1,214,847 and 1,885,941 is: 2,927,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,847 : 1,885,941 = 1,885,941 : x
  2. Step 2: Convert to fraction form
    1,214,847/1,885,941 = 1,885,941/x
  3. Step 3: Cross multiply
    1,214,847x = 1,885,941 × 1,885,941
  4. Step 4: Simplify right side
    1,214,847x = 3,556,773,455,481
  5. Step 5: Solve for x
    x = 3,556,773,455,481/1,214,847
  6. Step 6: Final answer
    x = 2,927,754.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.