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Finding the Third Proportional to 4,019,049 and 5,987,056.50

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Solution

The third proportional to 4,019,049 and 5,987,056.50 is: 8,918,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019,049 : 5,987,056.50 = 5,987,056.50 : x
  2. Step 2: Convert to fraction form
    4,019,049/5,987,056.50 = 5,987,056.50/x
  3. Step 3: Cross multiply
    4,019,049x = 5,987,056.50 × 5,987,056.50
  4. Step 4: Simplify right side
    4,019,049x = 35,844,845,534,192.25
  5. Step 5: Solve for x
    x = 35,844,845,534,192.25/4,019,049
  6. Step 6: Final answer
    x = 8,918,738.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.