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Finding the Third Proportional to 511,134 and 1,087,836

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Solution

The third proportional to 511,134 and 1,087,836 is: 2,315,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,134 : 1,087,836 = 1,087,836 : x
  2. Step 2: Convert to fraction form
    511,134/1,087,836 = 1,087,836/x
  3. Step 3: Cross multiply
    511,134x = 1,087,836 × 1,087,836
  4. Step 4: Simplify right side
    511,134x = 1,183,387,162,896
  5. Step 5: Solve for x
    x = 1,183,387,162,896/511,134
  6. Step 6: Final answer
    x = 2,315,219.03

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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.