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Finding the Third Proportional to 515,148 and 1,086,232

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Solution

The third proportional to 515,148 and 1,086,232 is: 2,290,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,148 : 1,086,232 = 1,086,232 : x
  2. Step 2: Convert to fraction form
    515,148/1,086,232 = 1,086,232/x
  3. Step 3: Cross multiply
    515,148x = 1,086,232 × 1,086,232
  4. Step 4: Simplify right side
    515,148x = 1,179,899,957,824
  5. Step 5: Solve for x
    x = 1,179,899,957,824/515,148
  6. Step 6: Final answer
    x = 2,290,409.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.