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Finding the Third Proportional to 523,234 and 1,093,844

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Solution

The third proportional to 523,234 and 1,093,844 is: 2,286,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,234 : 1,093,844 = 1,093,844 : x
  2. Step 2: Convert to fraction form
    523,234/1,093,844 = 1,093,844/x
  3. Step 3: Cross multiply
    523,234x = 1,093,844 × 1,093,844
  4. Step 4: Simplify right side
    523,234x = 1,196,494,696,336
  5. Step 5: Solve for x
    x = 1,196,494,696,336/523,234
  6. Step 6: Final answer
    x = 2,286,729.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.