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Finding the Third Proportional to 654,120 and 984,420

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Solution

The third proportional to 654,120 and 984,420 is: 1,481,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,120 : 984,420 = 984,420 : x
  2. Step 2: Convert to fraction form
    654,120/984,420 = 984,420/x
  3. Step 3: Cross multiply
    654,120x = 984,420 × 984,420
  4. Step 4: Simplify right side
    654,120x = 969,082,736,400
  5. Step 5: Solve for x
    x = 969,082,736,400/654,120
  6. Step 6: Final answer
    x = 1,481,506.05

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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.