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Finding the Third Proportional to 734,638.36 and 1,521,183.80

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Solution

The third proportional to 734,638.36 and 1,521,183.80 is: 3,149,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,638.36 : 1,521,183.80 = 1,521,183.80 : x
  2. Step 2: Convert to fraction form
    734,638.36/1,521,183.80 = 1,521,183.80/x
  3. Step 3: Cross multiply
    734,638.36x = 1,521,183.80 × 1,521,183.80
  4. Step 4: Simplify right side
    734,638.36x = 2,314,000,143,875.04
  5. Step 5: Solve for x
    x = 2,314,000,143,875.04/734,638.36
  6. Step 6: Final answer
    x = 3,149,849.33

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.