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Finding the Third Proportional to 648,223 and 981,281

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Solution

The third proportional to 648,223 and 981,281 is: 1,485,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,223 : 981,281 = 981,281 : x
  2. Step 2: Convert to fraction form
    648,223/981,281 = 981,281/x
  3. Step 3: Cross multiply
    648,223x = 981,281 × 981,281
  4. Step 4: Simplify right side
    648,223x = 962,912,400,961
  5. Step 5: Solve for x
    x = 962,912,400,961/648,223
  6. Step 6: Final answer
    x = 1,485,464.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.