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Finding the Third Proportional to 655,056 and 994,401

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Solution

The third proportional to 655,056 and 994,401 is: 1,509,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,056 : 994,401 = 994,401 : x
  2. Step 2: Convert to fraction form
    655,056/994,401 = 994,401/x
  3. Step 3: Cross multiply
    655,056x = 994,401 × 994,401
  4. Step 4: Simplify right side
    655,056x = 988,833,348,801
  5. Step 5: Solve for x
    x = 988,833,348,801/655,056
  6. Step 6: Final answer
    x = 1,509,540.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.