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Finding the Third Proportional to 619,469 and 946,976

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Solution

The third proportional to 619,469 and 946,976 is: 1,447,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,469 : 946,976 = 946,976 : x
  2. Step 2: Convert to fraction form
    619,469/946,976 = 946,976/x
  3. Step 3: Cross multiply
    619,469x = 946,976 × 946,976
  4. Step 4: Simplify right side
    619,469x = 896,763,544,576
  5. Step 5: Solve for x
    x = 896,763,544,576/619,469
  6. Step 6: Final answer
    x = 1,447,632.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.