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Finding the Third Proportional to 1,954,211.50 and 3,019,902

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Solution

The third proportional to 1,954,211.50 and 3,019,902 is: 4,666,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,211.50 : 3,019,902 = 3,019,902 : x
  2. Step 2: Convert to fraction form
    1,954,211.50/3,019,902 = 3,019,902/x
  3. Step 3: Cross multiply
    1,954,211.50x = 3,019,902 × 3,019,902
  4. Step 4: Simplify right side
    1,954,211.50x = 9,119,808,089,604
  5. Step 5: Solve for x
    x = 9,119,808,089,604/1,954,211.50
  6. Step 6: Final answer
    x = 4,666,745.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.