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Finding the Third Proportional to 527,983.88 and 1,080,571.50

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Solution

The third proportional to 527,983.88 and 1,080,571.50 is: 2,211,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,983.88 : 1,080,571.50 = 1,080,571.50 : x
  2. Step 2: Convert to fraction form
    527,983.88/1,080,571.50 = 1,080,571.50/x
  3. Step 3: Cross multiply
    527,983.88x = 1,080,571.50 × 1,080,571.50
  4. Step 4: Simplify right side
    527,983.88x = 1,167,634,766,612.25
  5. Step 5: Solve for x
    x = 1,167,634,766,612.25/527,983.88
  6. Step 6: Final answer
    x = 2,211,497.02

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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.