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Finding the Third Proportional to 2,073,821 and 4,313,184

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Solution

The third proportional to 2,073,821 and 4,313,184 is: 8,970,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,821 : 4,313,184 = 4,313,184 : x
  2. Step 2: Convert to fraction form
    2,073,821/4,313,184 = 4,313,184/x
  3. Step 3: Cross multiply
    2,073,821x = 4,313,184 × 4,313,184
  4. Step 4: Simplify right side
    2,073,821x = 18,603,556,217,856
  5. Step 5: Solve for x
    x = 18,603,556,217,856/2,073,821
  6. Step 6: Final answer
    x = 8,970,666.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.