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Finding the Third Proportional to 536,465 and 1,165,198

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Solution

The third proportional to 536,465 and 1,165,198 is: 2,530,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,465 : 1,165,198 = 1,165,198 : x
  2. Step 2: Convert to fraction form
    536,465/1,165,198 = 1,165,198/x
  3. Step 3: Cross multiply
    536,465x = 1,165,198 × 1,165,198
  4. Step 4: Simplify right side
    536,465x = 1,357,686,379,204
  5. Step 5: Solve for x
    x = 1,357,686,379,204/536,465
  6. Step 6: Final answer
    x = 2,530,801.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.