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Finding the Third Proportional to 382,815 and 838,899

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Solution

The third proportional to 382,815 and 838,899 is: 1,838,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,815 : 838,899 = 838,899 : x
  2. Step 2: Convert to fraction form
    382,815/838,899 = 838,899/x
  3. Step 3: Cross multiply
    382,815x = 838,899 × 838,899
  4. Step 4: Simplify right side
    382,815x = 703,751,532,201
  5. Step 5: Solve for x
    x = 703,751,532,201/382,815
  6. Step 6: Final answer
    x = 1,838,359.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.