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Finding the Third Proportional to 1,965,211 and 4,297,014

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Solution

The third proportional to 1,965,211 and 4,297,014 is: 9,395,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,211 : 4,297,014 = 4,297,014 : x
  2. Step 2: Convert to fraction form
    1,965,211/4,297,014 = 4,297,014/x
  3. Step 3: Cross multiply
    1,965,211x = 4,297,014 × 4,297,014
  4. Step 4: Simplify right side
    1,965,211x = 18,464,329,316,196
  5. Step 5: Solve for x
    x = 18,464,329,316,196/1,965,211
  6. Step 6: Final answer
    x = 9,395,596.36

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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.