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Finding the Third Proportional to 923,085 and 1,993,794

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Solution

The third proportional to 923,085 and 1,993,794 is: 4,306,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,085 : 1,993,794 = 1,993,794 : x
  2. Step 2: Convert to fraction form
    923,085/1,993,794 = 1,993,794/x
  3. Step 3: Cross multiply
    923,085x = 1,993,794 × 1,993,794
  4. Step 4: Simplify right side
    923,085x = 3,975,214,514,436
  5. Step 5: Solve for x
    x = 3,975,214,514,436/923,085
  6. Step 6: Final answer
    x = 4,306,444.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.