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Finding the Third Proportional to 734,002 and 1,612,345

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Solution

The third proportional to 734,002 and 1,612,345 is: 3,541,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,002 : 1,612,345 = 1,612,345 : x
  2. Step 2: Convert to fraction form
    734,002/1,612,345 = 1,612,345/x
  3. Step 3: Cross multiply
    734,002x = 1,612,345 × 1,612,345
  4. Step 4: Simplify right side
    734,002x = 2,599,656,399,025
  5. Step 5: Solve for x
    x = 2,599,656,399,025/734,002
  6. Step 6: Final answer
    x = 3,541,756.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.