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Finding the Third Proportional to 734,438 and 1,330,483

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Solution

The third proportional to 734,438 and 1,330,483 is: 2,410,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,438 : 1,330,483 = 1,330,483 : x
  2. Step 2: Convert to fraction form
    734,438/1,330,483 = 1,330,483/x
  3. Step 3: Cross multiply
    734,438x = 1,330,483 × 1,330,483
  4. Step 4: Simplify right side
    734,438x = 1,770,185,013,289
  5. Step 5: Solve for x
    x = 1,770,185,013,289/734,438
  6. Step 6: Final answer
    x = 2,410,257.93

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.