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Finding the Third Proportional to 527,986 and 1,080,576

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Solution

The third proportional to 527,986 and 1,080,576 is: 2,211,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,986 : 1,080,576 = 1,080,576 : x
  2. Step 2: Convert to fraction form
    527,986/1,080,576 = 1,080,576/x
  3. Step 3: Cross multiply
    527,986x = 1,080,576 × 1,080,576
  4. Step 4: Simplify right side
    527,986x = 1,167,644,491,776
  5. Step 5: Solve for x
    x = 1,167,644,491,776/527,986
  6. Step 6: Final answer
    x = 2,211,506.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.