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Finding the Third Proportional to 515,290 and 1,135,232

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Solution

The third proportional to 515,290 and 1,135,232 is: 2,501,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,290 : 1,135,232 = 1,135,232 : x
  2. Step 2: Convert to fraction form
    515,290/1,135,232 = 1,135,232/x
  3. Step 3: Cross multiply
    515,290x = 1,135,232 × 1,135,232
  4. Step 4: Simplify right side
    515,290x = 1,288,751,693,824
  5. Step 5: Solve for x
    x = 1,288,751,693,824/515,290
  6. Step 6: Final answer
    x = 2,501,022.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.