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Finding the Third Proportional to 654,825 and 984,674

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Solution

The third proportional to 654,825 and 984,674 is: 1,480,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,825 : 984,674 = 984,674 : x
  2. Step 2: Convert to fraction form
    654,825/984,674 = 984,674/x
  3. Step 3: Cross multiply
    654,825x = 984,674 × 984,674
  4. Step 4: Simplify right side
    654,825x = 969,582,886,276
  5. Step 5: Solve for x
    x = 969,582,886,276/654,825
  6. Step 6: Final answer
    x = 1,480,674.82

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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.