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Finding the Third Proportional to 385,244 and 827,836

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Solution

The third proportional to 385,244 and 827,836 is: 1,778,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,244 : 827,836 = 827,836 : x
  2. Step 2: Convert to fraction form
    385,244/827,836 = 827,836/x
  3. Step 3: Cross multiply
    385,244x = 827,836 × 827,836
  4. Step 4: Simplify right side
    385,244x = 685,312,442,896
  5. Step 5: Solve for x
    x = 685,312,442,896/385,244
  6. Step 6: Final answer
    x = 1,778,904.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.