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Finding the Third Proportional to 1,965,135 and 4,296,858

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Solution

The third proportional to 1,965,135 and 4,296,858 is: 9,395,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,135 : 4,296,858 = 4,296,858 : x
  2. Step 2: Convert to fraction form
    1,965,135/4,296,858 = 4,296,858/x
  3. Step 3: Cross multiply
    1,965,135x = 4,296,858 × 4,296,858
  4. Step 4: Simplify right side
    1,965,135x = 18,462,988,672,164
  5. Step 5: Solve for x
    x = 18,462,988,672,164/1,965,135
  6. Step 6: Final answer
    x = 9,395,277.51

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Why These Related Problems?

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