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Finding the Third Proportional to 1,279,184 and 2,733,184

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Solution

The third proportional to 1,279,184 and 2,733,184 is: 5,839,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,184 : 2,733,184 = 2,733,184 : x
  2. Step 2: Convert to fraction form
    1,279,184/2,733,184 = 2,733,184/x
  3. Step 3: Cross multiply
    1,279,184x = 2,733,184 × 2,733,184
  4. Step 4: Simplify right side
    1,279,184x = 7,470,294,777,856
  5. Step 5: Solve for x
    x = 7,470,294,777,856/1,279,184
  6. Step 6: Final answer
    x = 5,839,890.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.