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Finding the Third Proportional to 385,857 and 827,091

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Solution

The third proportional to 385,857 and 827,091 is: 1,772,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,857 : 827,091 = 827,091 : x
  2. Step 2: Convert to fraction form
    385,857/827,091 = 827,091/x
  3. Step 3: Cross multiply
    385,857x = 827,091 × 827,091
  4. Step 4: Simplify right side
    385,857x = 684,079,522,281
  5. Step 5: Solve for x
    x = 684,079,522,281/385,857
  6. Step 6: Final answer
    x = 1,772,883.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.