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Finding the Third Proportional to 654,124 and 984,426

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Solution

The third proportional to 654,124 and 984,426 is: 1,481,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,124 : 984,426 = 984,426 : x
  2. Step 2: Convert to fraction form
    654,124/984,426 = 984,426/x
  3. Step 3: Cross multiply
    654,124x = 984,426 × 984,426
  4. Step 4: Simplify right side
    654,124x = 969,094,549,476
  5. Step 5: Solve for x
    x = 969,094,549,476/654,124
  6. Step 6: Final answer
    x = 1,481,515.05

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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.