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Finding the Third Proportional to 1,834,191 and 4,022,311

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Solution

The third proportional to 1,834,191 and 4,022,311 is: 8,820,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,191 : 4,022,311 = 4,022,311 : x
  2. Step 2: Convert to fraction form
    1,834,191/4,022,311 = 4,022,311/x
  3. Step 3: Cross multiply
    1,834,191x = 4,022,311 × 4,022,311
  4. Step 4: Simplify right side
    1,834,191x = 16,178,985,780,721
  5. Step 5: Solve for x
    x = 16,178,985,780,721/1,834,191
  6. Step 6: Final answer
    x = 8,820,774.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.