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Finding the Third Proportional to 541,728 and 1,166,706

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Solution

The third proportional to 541,728 and 1,166,706 is: 2,512,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728 : 1,166,706 = 1,166,706 : x
  2. Step 2: Convert to fraction form
    541,728/1,166,706 = 1,166,706/x
  3. Step 3: Cross multiply
    541,728x = 1,166,706 × 1,166,706
  4. Step 4: Simplify right side
    541,728x = 1,361,202,890,436
  5. Step 5: Solve for x
    x = 1,361,202,890,436/541,728
  6. Step 6: Final answer
    x = 2,512,705.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.