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Finding the Third Proportional to 649,104 and 948,540

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Solution

The third proportional to 649,104 and 948,540 is: 1,386,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,104 : 948,540 = 948,540 : x
  2. Step 2: Convert to fraction form
    649,104/948,540 = 948,540/x
  3. Step 3: Cross multiply
    649,104x = 948,540 × 948,540
  4. Step 4: Simplify right side
    649,104x = 899,728,131,600
  5. Step 5: Solve for x
    x = 899,728,131,600/649,104
  6. Step 6: Final answer
    x = 1,386,107.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.