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Finding the Third Proportional to 1,807,224.75 and 3,800,822.06

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Solution

The third proportional to 1,807,224.75 and 3,800,822.06 is: 7,993,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,224.75 : 3,800,822.06 = 3,800,822.06 : x
  2. Step 2: Convert to fraction form
    1,807,224.75/3,800,822.06 = 3,800,822.06/x
  3. Step 3: Cross multiply
    1,807,224.75x = 3,800,822.06 × 3,800,822.06
  4. Step 4: Simplify right side
    1,807,224.75x = 14,446,248,350,786.75
  5. Step 5: Solve for x
    x = 14,446,248,350,786.75/1,807,224.75
  6. Step 6: Final answer
    x = 7,993,609.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.