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Finding the Third Proportional to 509,922 and 1,120,500

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Solution

The third proportional to 509,922 and 1,120,500 is: 2,462,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,922 : 1,120,500 = 1,120,500 : x
  2. Step 2: Convert to fraction form
    509,922/1,120,500 = 1,120,500/x
  3. Step 3: Cross multiply
    509,922x = 1,120,500 × 1,120,500
  4. Step 4: Simplify right side
    509,922x = 1,255,520,250,000
  5. Step 5: Solve for x
    x = 1,255,520,250,000/509,922
  6. Step 6: Final answer
    x = 2,462,180.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.