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Finding the Third Proportional to 1,689,678 and 3,519,162

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Solution

The third proportional to 1,689,678 and 3,519,162 is: 7,329,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,678 : 3,519,162 = 3,519,162 : x
  2. Step 2: Convert to fraction form
    1,689,678/3,519,162 = 3,519,162/x
  3. Step 3: Cross multiply
    1,689,678x = 3,519,162 × 3,519,162
  4. Step 4: Simplify right side
    1,689,678x = 12,384,501,182,244
  5. Step 5: Solve for x
    x = 12,384,501,182,244/1,689,678
  6. Step 6: Final answer
    x = 7,329,503.72

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Why These Related Problems?

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