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Finding the Third Proportional to 775,680 and 1,137,984

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Solution

The third proportional to 775,680 and 1,137,984 is: 1,669,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,680 : 1,137,984 = 1,137,984 : x
  2. Step 2: Convert to fraction form
    775,680/1,137,984 = 1,137,984/x
  3. Step 3: Cross multiply
    775,680x = 1,137,984 × 1,137,984
  4. Step 4: Simplify right side
    775,680x = 1,295,007,584,256
  5. Step 5: Solve for x
    x = 1,295,007,584,256/775,680
  6. Step 6: Final answer
    x = 1,669,512.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.