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Finding the Third Proportional to 3,743,847.84 and 5,923,181.95

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Solution

The third proportional to 3,743,847.84 and 5,923,181.95 is: 9,371,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,847.84 : 5,923,181.95 = 5,923,181.95 : x
  2. Step 2: Convert to fraction form
    3,743,847.84/5,923,181.95 = 5,923,181.95/x
  3. Step 3: Cross multiply
    3,743,847.84x = 5,923,181.95 × 5,923,181.95
  4. Step 4: Simplify right side
    3,743,847.84x = 35,084,084,449,825.69
  5. Step 5: Solve for x
    x = 35,084,084,449,825.69/3,743,847.84
  6. Step 6: Final answer
    x = 9,371,129.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.