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Finding the Third Proportional to 384,592 and 838,844

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Solution

The third proportional to 384,592 and 838,844 is: 1,829,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,592 : 838,844 = 838,844 : x
  2. Step 2: Convert to fraction form
    384,592/838,844 = 838,844/x
  3. Step 3: Cross multiply
    384,592x = 838,844 × 838,844
  4. Step 4: Simplify right side
    384,592x = 703,659,256,336
  5. Step 5: Solve for x
    x = 703,659,256,336/384,592
  6. Step 6: Final answer
    x = 1,829,625.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.