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Finding the Third Proportional to 484,576 and 1,131,880

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Solution

The third proportional to 484,576 and 1,131,880 is: 2,643,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,576 : 1,131,880 = 1,131,880 : x
  2. Step 2: Convert to fraction form
    484,576/1,131,880 = 1,131,880/x
  3. Step 3: Cross multiply
    484,576x = 1,131,880 × 1,131,880
  4. Step 4: Simplify right side
    484,576x = 1,281,152,334,400
  5. Step 5: Solve for x
    x = 1,281,152,334,400/484,576
  6. Step 6: Final answer
    x = 2,643,862.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.