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Finding the Third Proportional to 1,809,168.75 and 3,767,205

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Solution

The third proportional to 1,809,168.75 and 3,767,205 is: 7,844,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,168.75 : 3,767,205 = 3,767,205 : x
  2. Step 2: Convert to fraction form
    1,809,168.75/3,767,205 = 3,767,205/x
  3. Step 3: Cross multiply
    1,809,168.75x = 3,767,205 × 3,767,205
  4. Step 4: Simplify right side
    1,809,168.75x = 14,191,833,512,025
  5. Step 5: Solve for x
    x = 14,191,833,512,025/1,809,168.75
  6. Step 6: Final answer
    x = 7,844,394.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.