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Finding the Third Proportional to 1,994,400 and 4,269,024

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Solution

The third proportional to 1,994,400 and 4,269,024 is: 9,137,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,400 : 4,269,024 = 4,269,024 : x
  2. Step 2: Convert to fraction form
    1,994,400/4,269,024 = 4,269,024/x
  3. Step 3: Cross multiply
    1,994,400x = 4,269,024 × 4,269,024
  4. Step 4: Simplify right side
    1,994,400x = 18,224,565,912,576
  5. Step 5: Solve for x
    x = 18,224,565,912,576/1,994,400
  6. Step 6: Final answer
    x = 9,137,868.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.