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Finding the Third Proportional to 1,419,858 and 3,115,278

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Solution

The third proportional to 1,419,858 and 3,115,278 is: 6,835,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,858 : 3,115,278 = 3,115,278 : x
  2. Step 2: Convert to fraction form
    1,419,858/3,115,278 = 3,115,278/x
  3. Step 3: Cross multiply
    1,419,858x = 3,115,278 × 3,115,278
  4. Step 4: Simplify right side
    1,419,858x = 9,704,957,017,284
  5. Step 5: Solve for x
    x = 9,704,957,017,284/1,419,858
  6. Step 6: Final answer
    x = 6,835,160.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.