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Finding the Third Proportional to 680,427 and 1,446,876

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Solution

The third proportional to 680,427 and 1,446,876 is: 3,076,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,427 : 1,446,876 = 1,446,876 : x
  2. Step 2: Convert to fraction form
    680,427/1,446,876 = 1,446,876/x
  3. Step 3: Cross multiply
    680,427x = 1,446,876 × 1,446,876
  4. Step 4: Simplify right side
    680,427x = 2,093,450,159,376
  5. Step 5: Solve for x
    x = 2,093,450,159,376/680,427
  6. Step 6: Final answer
    x = 3,076,671.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.