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Finding the Third Proportional to 426,144 and 946,880

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Solution

The third proportional to 426,144 and 946,880 is: 2,103,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,144 : 946,880 = 946,880 : x
  2. Step 2: Convert to fraction form
    426,144/946,880 = 946,880/x
  3. Step 3: Cross multiply
    426,144x = 946,880 × 946,880
  4. Step 4: Simplify right side
    426,144x = 896,581,734,400
  5. Step 5: Solve for x
    x = 896,581,734,400/426,144
  6. Step 6: Final answer
    x = 2,103,940.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.