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Finding the Third Proportional to 527,981.63 and 1,080,567

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Solution

The third proportional to 527,981.63 and 1,080,567 is: 2,211,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,981.63 : 1,080,567 = 1,080,567 : x
  2. Step 2: Convert to fraction form
    527,981.63/1,080,567 = 1,080,567/x
  3. Step 3: Cross multiply
    527,981.63x = 1,080,567 × 1,080,567
  4. Step 4: Simplify right side
    527,981.63x = 1,167,625,041,489
  5. Step 5: Solve for x
    x = 1,167,625,041,489/527,981.63
  6. Step 6: Final answer
    x = 2,211,488.03

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