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Finding the Third Proportional to 618,530 and 957,722

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Solution

The third proportional to 618,530 and 957,722 is: 1,482,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,530 : 957,722 = 957,722 : x
  2. Step 2: Convert to fraction form
    618,530/957,722 = 957,722/x
  3. Step 3: Cross multiply
    618,530x = 957,722 × 957,722
  4. Step 4: Simplify right side
    618,530x = 917,231,429,284
  5. Step 5: Solve for x
    x = 917,231,429,284/618,530
  6. Step 6: Final answer
    x = 1,482,921.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.