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Finding the Third Proportional to 609,040 and 1,311,200

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Solution

The third proportional to 609,040 and 1,311,200 is: 2,822,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,040 : 1,311,200 = 1,311,200 : x
  2. Step 2: Convert to fraction form
    609,040/1,311,200 = 1,311,200/x
  3. Step 3: Cross multiply
    609,040x = 1,311,200 × 1,311,200
  4. Step 4: Simplify right side
    609,040x = 1,719,245,440,000
  5. Step 5: Solve for x
    x = 1,719,245,440,000/609,040
  6. Step 6: Final answer
    x = 2,822,877.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.