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Finding the Third Proportional to 2,265,024 and 4,950,096

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Solution

The third proportional to 2,265,024 and 4,950,096 is: 10,818,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,024 : 4,950,096 = 4,950,096 : x
  2. Step 2: Convert to fraction form
    2,265,024/4,950,096 = 4,950,096/x
  3. Step 3: Cross multiply
    2,265,024x = 4,950,096 × 4,950,096
  4. Step 4: Simplify right side
    2,265,024x = 24,503,450,409,216
  5. Step 5: Solve for x
    x = 24,503,450,409,216/2,265,024
  6. Step 6: Final answer
    x = 10,818,185.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.