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Finding the Third Proportional to 3,857,736 and 5,290,015.50

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Solution

The third proportional to 3,857,736 and 5,290,015.50 is: 7,254,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,736 : 5,290,015.50 = 5,290,015.50 : x
  2. Step 2: Convert to fraction form
    3,857,736/5,290,015.50 = 5,290,015.50/x
  3. Step 3: Cross multiply
    3,857,736x = 5,290,015.50 × 5,290,015.50
  4. Step 4: Simplify right side
    3,857,736x = 27,984,263,990,240.25
  5. Step 5: Solve for x
    x = 27,984,263,990,240.25/3,857,736
  6. Step 6: Final answer
    x = 7,254,064.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.