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Finding the Third Proportional to 2,198,397 and 3,497,073

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Solution

The third proportional to 2,198,397 and 3,497,073 is: 5,562,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,397 : 3,497,073 = 3,497,073 : x
  2. Step 2: Convert to fraction form
    2,198,397/3,497,073 = 3,497,073/x
  3. Step 3: Cross multiply
    2,198,397x = 3,497,073 × 3,497,073
  4. Step 4: Simplify right side
    2,198,397x = 12,229,519,567,329
  5. Step 5: Solve for x
    x = 12,229,519,567,329/2,198,397
  6. Step 6: Final answer
    x = 5,562,925.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.