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Finding the Third Proportional to 2,004,892 and 4,678,242

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Solution

The third proportional to 2,004,892 and 4,678,242 is: 10,916,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,892 : 4,678,242 = 4,678,242 : x
  2. Step 2: Convert to fraction form
    2,004,892/4,678,242 = 4,678,242/x
  3. Step 3: Cross multiply
    2,004,892x = 4,678,242 × 4,678,242
  4. Step 4: Simplify right side
    2,004,892x = 21,885,948,210,564
  5. Step 5: Solve for x
    x = 21,885,948,210,564/2,004,892
  6. Step 6: Final answer
    x = 10,916,272.90

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.