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Finding the Third Proportional to 635,458.50 and 1,396,858.50

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Solution

The third proportional to 635,458.50 and 1,396,858.50 is: 3,070,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,458.50 : 1,396,858.50 = 1,396,858.50 : x
  2. Step 2: Convert to fraction form
    635,458.50/1,396,858.50 = 1,396,858.50/x
  3. Step 3: Cross multiply
    635,458.50x = 1,396,858.50 × 1,396,858.50
  4. Step 4: Simplify right side
    635,458.50x = 1,951,213,669,022.25
  5. Step 5: Solve for x
    x = 1,951,213,669,022.25/635,458.50
  6. Step 6: Final answer
    x = 3,070,560.34

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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.