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Finding the Third Proportional to 481,930.50 and 1,046,823

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Solution

The third proportional to 481,930.50 and 1,046,823 is: 2,273,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,930.50 : 1,046,823 = 1,046,823 : x
  2. Step 2: Convert to fraction form
    481,930.50/1,046,823 = 1,046,823/x
  3. Step 3: Cross multiply
    481,930.50x = 1,046,823 × 1,046,823
  4. Step 4: Simplify right side
    481,930.50x = 1,095,838,393,329
  5. Step 5: Solve for x
    x = 1,095,838,393,329/481,930.50
  6. Step 6: Final answer
    x = 2,273,851.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.