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Finding the Third Proportional to 1,415,234.50 and 2,961,689

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Solution

The third proportional to 1,415,234.50 and 2,961,689 is: 6,197,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,234.50 : 2,961,689 = 2,961,689 : x
  2. Step 2: Convert to fraction form
    1,415,234.50/2,961,689 = 2,961,689/x
  3. Step 3: Cross multiply
    1,415,234.50x = 2,961,689 × 2,961,689
  4. Step 4: Simplify right side
    1,415,234.50x = 8,771,601,732,721
  5. Step 5: Solve for x
    x = 8,771,601,732,721/1,415,234.50
  6. Step 6: Final answer
    x = 6,197,984.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.