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Finding the Third Proportional to 2,414,194 and 5,261,284

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Solution

The third proportional to 2,414,194 and 5,261,284 is: 11,465,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,194 : 5,261,284 = 5,261,284 : x
  2. Step 2: Convert to fraction form
    2,414,194/5,261,284 = 5,261,284/x
  3. Step 3: Cross multiply
    2,414,194x = 5,261,284 × 5,261,284
  4. Step 4: Simplify right side
    2,414,194x = 27,681,109,328,656
  5. Step 5: Solve for x
    x = 27,681,109,328,656/2,414,194
  6. Step 6: Final answer
    x = 11,465,983.81

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