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Finding the Third Proportional to 2,257,397 and 3,496,797

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Solution

The third proportional to 2,257,397 and 3,496,797 is: 5,416,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,397 : 3,496,797 = 3,496,797 : x
  2. Step 2: Convert to fraction form
    2,257,397/3,496,797 = 3,496,797/x
  3. Step 3: Cross multiply
    2,257,397x = 3,496,797 × 3,496,797
  4. Step 4: Simplify right side
    2,257,397x = 12,227,589,259,209
  5. Step 5: Solve for x
    x = 12,227,589,259,209/2,257,397
  6. Step 6: Final answer
    x = 5,416,676.49

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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.