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Finding the Third Proportional to 2,147,390 and 4,631,024

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Solution

The third proportional to 2,147,390 and 4,631,024 is: 9,987,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,390 : 4,631,024 = 4,631,024 : x
  2. Step 2: Convert to fraction form
    2,147,390/4,631,024 = 4,631,024/x
  3. Step 3: Cross multiply
    2,147,390x = 4,631,024 × 4,631,024
  4. Step 4: Simplify right side
    2,147,390x = 21,446,383,288,576
  5. Step 5: Solve for x
    x = 21,446,383,288,576/2,147,390
  6. Step 6: Final answer
    x = 9,987,185.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.