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Finding the Third Proportional to 1,741,200 and 2,466,000

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Solution

The third proportional to 1,741,200 and 2,466,000 is: 3,492,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,200 : 2,466,000 = 2,466,000 : x
  2. Step 2: Convert to fraction form
    1,741,200/2,466,000 = 2,466,000/x
  3. Step 3: Cross multiply
    1,741,200x = 2,466,000 × 2,466,000
  4. Step 4: Simplify right side
    1,741,200x = 6,081,156,000,000
  5. Step 5: Solve for x
    x = 6,081,156,000,000/1,741,200
  6. Step 6: Final answer
    x = 3,492,508.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.