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Finding the Third Proportional to 613,494 and 947,601

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Solution

The third proportional to 613,494 and 947,601 is: 1,463,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,494 : 947,601 = 947,601 : x
  2. Step 2: Convert to fraction form
    613,494/947,601 = 947,601/x
  3. Step 3: Cross multiply
    613,494x = 947,601 × 947,601
  4. Step 4: Simplify right side
    613,494x = 897,947,655,201
  5. Step 5: Solve for x
    x = 897,947,655,201/613,494
  6. Step 6: Final answer
    x = 1,463,661.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.