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Finding the Third Proportional to 635,875 and 1,382,194

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Solution

The third proportional to 635,875 and 1,382,194 is: 3,004,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,875 : 1,382,194 = 1,382,194 : x
  2. Step 2: Convert to fraction form
    635,875/1,382,194 = 1,382,194/x
  3. Step 3: Cross multiply
    635,875x = 1,382,194 × 1,382,194
  4. Step 4: Simplify right side
    635,875x = 1,910,460,253,636
  5. Step 5: Solve for x
    x = 1,910,460,253,636/635,875
  6. Step 6: Final answer
    x = 3,004,458.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.