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Finding the Third Proportional to 654,372 and 981,558

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Solution

The third proportional to 654,372 and 981,558 is: 1,472,337

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,372 : 981,558 = 981,558 : x
  2. Step 2: Convert to fraction form
    654,372/981,558 = 981,558/x
  3. Step 3: Cross multiply
    654,372x = 981,558 × 981,558
  4. Step 4: Simplify right side
    654,372x = 963,456,107,364
  5. Step 5: Solve for x
    x = 963,456,107,364/654,372
  6. Step 6: Final answer
    x = 1,472,337

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.