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Finding the Third Proportional to 1,631,749.50 and 2,293,805.25

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Solution

The third proportional to 1,631,749.50 and 2,293,805.25 is: 3,224,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,749.50 : 2,293,805.25 = 2,293,805.25 : x
  2. Step 2: Convert to fraction form
    1,631,749.50/2,293,805.25 = 2,293,805.25/x
  3. Step 3: Cross multiply
    1,631,749.50x = 2,293,805.25 × 2,293,805.25
  4. Step 4: Simplify right side
    1,631,749.50x = 5,261,542,524,927.56
  5. Step 5: Solve for x
    x = 5,261,542,524,927.56/1,631,749.50
  6. Step 6: Final answer
    x = 3,224,479.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.