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Finding the Third Proportional to 2,198,408 and 3,497,086

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Solution

The third proportional to 2,198,408 and 3,497,086 is: 5,562,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,408 : 3,497,086 = 3,497,086 : x
  2. Step 2: Convert to fraction form
    2,198,408/3,497,086 = 3,497,086/x
  3. Step 3: Cross multiply
    2,198,408x = 3,497,086 × 3,497,086
  4. Step 4: Simplify right side
    2,198,408x = 12,229,610,491,396
  5. Step 5: Solve for x
    x = 12,229,610,491,396/2,198,408
  6. Step 6: Final answer
    x = 5,562,939.40

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Why These Related Problems?

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