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Finding the Third Proportional to 680,436 and 1,464,876

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Solution

The third proportional to 680,436 and 1,464,876 is: 3,153,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,436 : 1,464,876 = 1,464,876 : x
  2. Step 2: Convert to fraction form
    680,436/1,464,876 = 1,464,876/x
  3. Step 3: Cross multiply
    680,436x = 1,464,876 × 1,464,876
  4. Step 4: Simplify right side
    680,436x = 2,145,861,695,376
  5. Step 5: Solve for x
    x = 2,145,861,695,376/680,436
  6. Step 6: Final answer
    x = 3,153,656.91

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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.