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Finding the Third Proportional to 3,282,861 and 5,042,879.50

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Solution

The third proportional to 3,282,861 and 5,042,879.50 is: 7,746,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282,861 : 5,042,879.50 = 5,042,879.50 : x
  2. Step 2: Convert to fraction form
    3,282,861/5,042,879.50 = 5,042,879.50/x
  3. Step 3: Cross multiply
    3,282,861x = 5,042,879.50 × 5,042,879.50
  4. Step 4: Simplify right side
    3,282,861x = 25,430,633,651,520.25
  5. Step 5: Solve for x
    x = 25,430,633,651,520.25/3,282,861
  6. Step 6: Final answer
    x = 7,746,485.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.