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Finding the Third Proportional to 939,914 and 1,986,977

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Solution

The third proportional to 939,914 and 1,986,977 is: 4,200,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,914 : 1,986,977 = 1,986,977 : x
  2. Step 2: Convert to fraction form
    939,914/1,986,977 = 1,986,977/x
  3. Step 3: Cross multiply
    939,914x = 1,986,977 × 1,986,977
  4. Step 4: Simplify right side
    939,914x = 3,948,077,598,529
  5. Step 5: Solve for x
    x = 3,948,077,598,529/939,914
  6. Step 6: Final answer
    x = 4,200,466.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.