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Finding the Third Proportional to 483,144.75 and 1,054,680.75

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Solution

The third proportional to 483,144.75 and 1,054,680.75 is: 2,302,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,144.75 : 1,054,680.75 = 1,054,680.75 : x
  2. Step 2: Convert to fraction form
    483,144.75/1,054,680.75 = 1,054,680.75/x
  3. Step 3: Cross multiply
    483,144.75x = 1,054,680.75 × 1,054,680.75
  4. Step 4: Simplify right side
    483,144.75x = 1,112,351,484,420.56
  5. Step 5: Solve for x
    x = 1,112,351,484,420.56/483,144.75
  6. Step 6: Final answer
    x = 2,302,315.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.