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Finding the Third Proportional to 914,022.75 and 1,980,588.75

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Solution

The third proportional to 914,022.75 and 1,980,588.75 is: 4,291,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,022.75 : 1,980,588.75 = 1,980,588.75 : x
  2. Step 2: Convert to fraction form
    914,022.75/1,980,588.75 = 1,980,588.75/x
  3. Step 3: Cross multiply
    914,022.75x = 1,980,588.75 × 1,980,588.75
  4. Step 4: Simplify right side
    914,022.75x = 3,922,731,796,626.56
  5. Step 5: Solve for x
    x = 3,922,731,796,626.56/914,022.75
  6. Step 6: Final answer
    x = 4,291,722.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.