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Finding the Third Proportional to 1,965,106 and 4,077,924

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Solution

The third proportional to 1,965,106 and 4,077,924 is: 8,462,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,106 : 4,077,924 = 4,077,924 : x
  2. Step 2: Convert to fraction form
    1,965,106/4,077,924 = 4,077,924/x
  3. Step 3: Cross multiply
    1,965,106x = 4,077,924 × 4,077,924
  4. Step 4: Simplify right side
    1,965,106x = 16,629,464,149,776
  5. Step 5: Solve for x
    x = 16,629,464,149,776/1,965,106
  6. Step 6: Final answer
    x = 8,462,375.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.