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Finding the Third Proportional to 1,629,861.75 and 3,562,623

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Solution

The third proportional to 1,629,861.75 and 3,562,623 is: 7,787,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,861.75 : 3,562,623 = 3,562,623 : x
  2. Step 2: Convert to fraction form
    1,629,861.75/3,562,623 = 3,562,623/x
  3. Step 3: Cross multiply
    1,629,861.75x = 3,562,623 × 3,562,623
  4. Step 4: Simplify right side
    1,629,861.75x = 12,692,282,640,129
  5. Step 5: Solve for x
    x = 12,692,282,640,129/1,629,861.75
  6. Step 6: Final answer
    x = 7,787,336.96

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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.