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Finding the Third Proportional to 2,024,884 and 4,277,444

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Solution

The third proportional to 2,024,884 and 4,277,444 is: 9,035,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,884 : 4,277,444 = 4,277,444 : x
  2. Step 2: Convert to fraction form
    2,024,884/4,277,444 = 4,277,444/x
  3. Step 3: Cross multiply
    2,024,884x = 4,277,444 × 4,277,444
  4. Step 4: Simplify right side
    2,024,884x = 18,296,527,173,136
  5. Step 5: Solve for x
    x = 18,296,527,173,136/2,024,884
  6. Step 6: Final answer
    x = 9,035,839.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.