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Finding the Third Proportional to 2,408,676.75 and 3,689,304.75

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Solution

The third proportional to 2,408,676.75 and 3,689,304.75 is: 5,650,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,676.75 : 3,689,304.75 = 3,689,304.75 : x
  2. Step 2: Convert to fraction form
    2,408,676.75/3,689,304.75 = 3,689,304.75/x
  3. Step 3: Cross multiply
    2,408,676.75x = 3,689,304.75 × 3,689,304.75
  4. Step 4: Simplify right side
    2,408,676.75x = 13,610,969,538,372.56
  5. Step 5: Solve for x
    x = 13,610,969,538,372.56/2,408,676.75
  6. Step 6: Final answer
    x = 5,650,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.