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Finding the Third Proportional to 829,819.50 and 1,810,443

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Solution

The third proportional to 829,819.50 and 1,810,443 is: 3,949,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,819.50 : 1,810,443 = 1,810,443 : x
  2. Step 2: Convert to fraction form
    829,819.50/1,810,443 = 1,810,443/x
  3. Step 3: Cross multiply
    829,819.50x = 1,810,443 × 1,810,443
  4. Step 4: Simplify right side
    829,819.50x = 3,277,703,856,249
  5. Step 5: Solve for x
    x = 3,277,703,856,249/829,819.50
  6. Step 6: Final answer
    x = 3,949,899.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.