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Finding the Third Proportional to 947,321.26 and 2,147,604.63

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Solution

The third proportional to 947,321.26 and 2,147,604.63 is: 4,868,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,321.26 : 2,147,604.63 = 2,147,604.63 : x
  2. Step 2: Convert to fraction form
    947,321.26/2,147,604.63 = 2,147,604.63/x
  3. Step 3: Cross multiply
    947,321.26x = 2,147,604.63 × 2,147,604.63
  4. Step 4: Simplify right side
    947,321.26x = 4,612,205,662,023.52
  5. Step 5: Solve for x
    x = 4,612,205,662,023.52/947,321.26
  6. Step 6: Final answer
    x = 4,868,681.67

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.