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Finding the Third Proportional to 1,783,050.50 and 3,796,676

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Solution

The third proportional to 1,783,050.50 and 3,796,676 is: 8,084,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,050.50 : 3,796,676 = 3,796,676 : x
  2. Step 2: Convert to fraction form
    1,783,050.50/3,796,676 = 3,796,676/x
  3. Step 3: Cross multiply
    1,783,050.50x = 3,796,676 × 3,796,676
  4. Step 4: Simplify right side
    1,783,050.50x = 14,414,748,648,976
  5. Step 5: Solve for x
    x = 14,414,748,648,976/1,783,050.50
  6. Step 6: Final answer
    x = 8,084,318.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.