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Finding the Third Proportional to 386,656 and 851,828

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Solution

The third proportional to 386,656 and 851,828 is: 1,876,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,656 : 851,828 = 851,828 : x
  2. Step 2: Convert to fraction form
    386,656/851,828 = 851,828/x
  3. Step 3: Cross multiply
    386,656x = 851,828 × 851,828
  4. Step 4: Simplify right side
    386,656x = 725,610,941,584
  5. Step 5: Solve for x
    x = 725,610,941,584/386,656
  6. Step 6: Final answer
    x = 1,876,631.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.