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Finding the Third Proportional to 535,716 and 1,115,811

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Solution

The third proportional to 535,716 and 1,115,811 is: 2,324,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,716 : 1,115,811 = 1,115,811 : x
  2. Step 2: Convert to fraction form
    535,716/1,115,811 = 1,115,811/x
  3. Step 3: Cross multiply
    535,716x = 1,115,811 × 1,115,811
  4. Step 4: Simplify right side
    535,716x = 1,245,034,187,721
  5. Step 5: Solve for x
    x = 1,245,034,187,721/535,716
  6. Step 6: Final answer
    x = 2,324,056.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.