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Finding the Third Proportional to 2,033,096 and 2,981,724

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Solution

The third proportional to 2,033,096 and 2,981,724 is: 4,372,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,096 : 2,981,724 = 2,981,724 : x
  2. Step 2: Convert to fraction form
    2,033,096/2,981,724 = 2,981,724/x
  3. Step 3: Cross multiply
    2,033,096x = 2,981,724 × 2,981,724
  4. Step 4: Simplify right side
    2,033,096x = 8,890,678,012,176
  5. Step 5: Solve for x
    x = 8,890,678,012,176/2,033,096
  6. Step 6: Final answer
    x = 4,372,975.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.