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Finding the Third Proportional to 1,885,769 and 4,198,367

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Solution

The third proportional to 1,885,769 and 4,198,367 is: 9,347,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885,769 : 4,198,367 = 4,198,367 : x
  2. Step 2: Convert to fraction form
    1,885,769/4,198,367 = 4,198,367/x
  3. Step 3: Cross multiply
    1,885,769x = 4,198,367 × 4,198,367
  4. Step 4: Simplify right side
    1,885,769x = 17,626,285,466,689
  5. Step 5: Solve for x
    x = 17,626,285,466,689/1,885,769
  6. Step 6: Final answer
    x = 9,347,001.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.