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Finding the Third Proportional to 654,048 and 984,312

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Solution

The third proportional to 654,048 and 984,312 is: 1,481,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,048 : 984,312 = 984,312 : x
  2. Step 2: Convert to fraction form
    654,048/984,312 = 984,312/x
  3. Step 3: Cross multiply
    654,048x = 984,312 × 984,312
  4. Step 4: Simplify right side
    654,048x = 968,870,113,344
  5. Step 5: Solve for x
    x = 968,870,113,344/654,048
  6. Step 6: Final answer
    x = 1,481,344.05

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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.