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Finding the Third Proportional to 509,090 and 1,150,197

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Solution

The third proportional to 509,090 and 1,150,197 is: 2,598,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,090 : 1,150,197 = 1,150,197 : x
  2. Step 2: Convert to fraction form
    509,090/1,150,197 = 1,150,197/x
  3. Step 3: Cross multiply
    509,090x = 1,150,197 × 1,150,197
  4. Step 4: Simplify right side
    509,090x = 1,322,953,138,809
  5. Step 5: Solve for x
    x = 1,322,953,138,809/509,090
  6. Step 6: Final answer
    x = 2,598,662.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.