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Finding the Third Proportional to 541,716 and 1,166,682

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Solution

The third proportional to 541,716 and 1,166,682 is: 2,512,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,716 : 1,166,682 = 1,166,682 : x
  2. Step 2: Convert to fraction form
    541,716/1,166,682 = 1,166,682/x
  3. Step 3: Cross multiply
    541,716x = 1,166,682 × 1,166,682
  4. Step 4: Simplify right side
    541,716x = 1,361,146,889,124
  5. Step 5: Solve for x
    x = 1,361,146,889,124/541,716
  6. Step 6: Final answer
    x = 2,512,657.72

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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.