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Finding the Third Proportional to 2,068,721 and 3,211,338

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Solution

The third proportional to 2,068,721 and 3,211,338 is: 4,985,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,721 : 3,211,338 = 3,211,338 : x
  2. Step 2: Convert to fraction form
    2,068,721/3,211,338 = 3,211,338/x
  3. Step 3: Cross multiply
    2,068,721x = 3,211,338 × 3,211,338
  4. Step 4: Simplify right side
    2,068,721x = 10,312,691,750,244
  5. Step 5: Solve for x
    x = 10,312,691,750,244/2,068,721
  6. Step 6: Final answer
    x = 4,985,056.83

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