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Finding the Third Proportional to 609,668 and 1,340,000

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Solution

The third proportional to 609,668 and 1,340,000 is: 2,945,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,668 : 1,340,000 = 1,340,000 : x
  2. Step 2: Convert to fraction form
    609,668/1,340,000 = 1,340,000/x
  3. Step 3: Cross multiply
    609,668x = 1,340,000 × 1,340,000
  4. Step 4: Simplify right side
    609,668x = 1,795,600,000,000
  5. Step 5: Solve for x
    x = 1,795,600,000,000/609,668
  6. Step 6: Final answer
    x = 2,945,209.52

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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.