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Finding the Third Proportional to 2,018,400 and 3,036,024

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Solution

The third proportional to 2,018,400 and 3,036,024 is: 4,566,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,400 : 3,036,024 = 3,036,024 : x
  2. Step 2: Convert to fraction form
    2,018,400/3,036,024 = 3,036,024/x
  3. Step 3: Cross multiply
    2,018,400x = 3,036,024 × 3,036,024
  4. Step 4: Simplify right side
    2,018,400x = 9,217,441,728,576
  5. Step 5: Solve for x
    x = 9,217,441,728,576/2,018,400
  6. Step 6: Final answer
    x = 4,566,707.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.