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Finding the Third Proportional to 2,575,682 and 3,784,491

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Solution

The third proportional to 2,575,682 and 3,784,491 is: 5,560,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,682 : 3,784,491 = 3,784,491 : x
  2. Step 2: Convert to fraction form
    2,575,682/3,784,491 = 3,784,491/x
  3. Step 3: Cross multiply
    2,575,682x = 3,784,491 × 3,784,491
  4. Step 4: Simplify right side
    2,575,682x = 14,322,372,129,081
  5. Step 5: Solve for x
    x = 14,322,372,129,081/2,575,682
  6. Step 6: Final answer
    x = 5,560,613.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.