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Finding the Third Proportional to 536,158 and 1,116,416

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Solution

The third proportional to 536,158 and 1,116,416 is: 2,324,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,158 : 1,116,416 = 1,116,416 : x
  2. Step 2: Convert to fraction form
    536,158/1,116,416 = 1,116,416/x
  3. Step 3: Cross multiply
    536,158x = 1,116,416 × 1,116,416
  4. Step 4: Simplify right side
    536,158x = 1,246,384,685,056
  5. Step 5: Solve for x
    x = 1,246,384,685,056/536,158
  6. Step 6: Final answer
    x = 2,324,659.31

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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.