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Finding the Third Proportional to 654,827 and 984,677

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Solution

The third proportional to 654,827 and 984,677 is: 1,480,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,827 : 984,677 = 984,677 : x
  2. Step 2: Convert to fraction form
    654,827/984,677 = 984,677/x
  3. Step 3: Cross multiply
    654,827x = 984,677 × 984,677
  4. Step 4: Simplify right side
    654,827x = 969,588,794,329
  5. Step 5: Solve for x
    x = 969,588,794,329/654,827
  6. Step 6: Final answer
    x = 1,480,679.32

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