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Finding the Third Proportional to 1,608,033.50 and 3,534,861

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Solution

The third proportional to 1,608,033.50 and 3,534,861 is: 7,770,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,033.50 : 3,534,861 = 3,534,861 : x
  2. Step 2: Convert to fraction form
    1,608,033.50/3,534,861 = 3,534,861/x
  3. Step 3: Cross multiply
    1,608,033.50x = 3,534,861 × 3,534,861
  4. Step 4: Simplify right side
    1,608,033.50x = 12,495,242,289,321
  5. Step 5: Solve for x
    x = 12,495,242,289,321/1,608,033.50
  6. Step 6: Final answer
    x = 7,770,511.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.