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Finding the Third Proportional to 496,764.75 and 1,105,947

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Solution

The third proportional to 496,764.75 and 1,105,947 is: 2,462,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,764.75 : 1,105,947 = 1,105,947 : x
  2. Step 2: Convert to fraction form
    496,764.75/1,105,947 = 1,105,947/x
  3. Step 3: Cross multiply
    496,764.75x = 1,105,947 × 1,105,947
  4. Step 4: Simplify right side
    496,764.75x = 1,223,118,766,809
  5. Step 5: Solve for x
    x = 1,223,118,766,809/496,764.75
  6. Step 6: Final answer
    x = 2,462,169.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.