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Finding the Third Proportional to 1,699,993.50 and 3,699,057

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Solution

The third proportional to 1,699,993.50 and 3,699,057 is: 8,048,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,993.50 : 3,699,057 = 3,699,057 : x
  2. Step 2: Convert to fraction form
    1,699,993.50/3,699,057 = 3,699,057/x
  3. Step 3: Cross multiply
    1,699,993.50x = 3,699,057 × 3,699,057
  4. Step 4: Simplify right side
    1,699,993.50x = 13,683,022,689,249
  5. Step 5: Solve for x
    x = 13,683,022,689,249/1,699,993.50
  6. Step 6: Final answer
    x = 8,048,867.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.