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Finding the Third Proportional to 511,128 and 1,087,824

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Solution

The third proportional to 511,128 and 1,087,824 is: 2,315,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,128 : 1,087,824 = 1,087,824 : x
  2. Step 2: Convert to fraction form
    511,128/1,087,824 = 1,087,824/x
  3. Step 3: Cross multiply
    511,128x = 1,087,824 × 1,087,824
  4. Step 4: Simplify right side
    511,128x = 1,183,361,054,976
  5. Step 5: Solve for x
    x = 1,183,361,054,976/511,128
  6. Step 6: Final answer
    x = 2,315,195.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.