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Finding the Third Proportional to 766,986 and 1,672,401

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Solution

The third proportional to 766,986 and 1,672,401 is: 3,646,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,986 : 1,672,401 = 1,672,401 : x
  2. Step 2: Convert to fraction form
    766,986/1,672,401 = 1,672,401/x
  3. Step 3: Cross multiply
    766,986x = 1,672,401 × 1,672,401
  4. Step 4: Simplify right side
    766,986x = 2,796,925,104,801
  5. Step 5: Solve for x
    x = 2,796,925,104,801/766,986
  6. Step 6: Final answer
    x = 3,646,644.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.