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Finding the Third Proportional to 1,797,069 and 3,868,163

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Solution

The third proportional to 1,797,069 and 3,868,163 is: 8,326,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,069 : 3,868,163 = 3,868,163 : x
  2. Step 2: Convert to fraction form
    1,797,069/3,868,163 = 3,868,163/x
  3. Step 3: Cross multiply
    1,797,069x = 3,868,163 × 3,868,163
  4. Step 4: Simplify right side
    1,797,069x = 14,962,684,994,569
  5. Step 5: Solve for x
    x = 14,962,684,994,569/1,797,069
  6. Step 6: Final answer
    x = 8,326,160.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.