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Finding the Third Proportional to 857,910 and 1,883,868

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Solution

The third proportional to 857,910 and 1,883,868 is: 4,136,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,910 : 1,883,868 = 1,883,868 : x
  2. Step 2: Convert to fraction form
    857,910/1,883,868 = 1,883,868/x
  3. Step 3: Cross multiply
    857,910x = 1,883,868 × 1,883,868
  4. Step 4: Simplify right side
    857,910x = 3,548,958,641,424
  5. Step 5: Solve for x
    x = 3,548,958,641,424/857,910
  6. Step 6: Final answer
    x = 4,136,749.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.