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Finding the Third Proportional to 2,014,965 and 3,384,031.50

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Solution

The third proportional to 2,014,965 and 3,384,031.50 is: 5,683,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,965 : 3,384,031.50 = 3,384,031.50 : x
  2. Step 2: Convert to fraction form
    2,014,965/3,384,031.50 = 3,384,031.50/x
  3. Step 3: Cross multiply
    2,014,965x = 3,384,031.50 × 3,384,031.50
  4. Step 4: Simplify right side
    2,014,965x = 11,451,669,192,992.25
  5. Step 5: Solve for x
    x = 11,451,669,192,992.25/2,014,965
  6. Step 6: Final answer
    x = 5,683,309.24

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.