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Finding the Third Proportional to 676,680 and 1,469,964

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Solution

The third proportional to 676,680 and 1,469,964 is: 3,193,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,680 : 1,469,964 = 1,469,964 : x
  2. Step 2: Convert to fraction form
    676,680/1,469,964 = 1,469,964/x
  3. Step 3: Cross multiply
    676,680x = 1,469,964 × 1,469,964
  4. Step 4: Simplify right side
    676,680x = 2,160,794,161,296
  5. Step 5: Solve for x
    x = 2,160,794,161,296/676,680
  6. Step 6: Final answer
    x = 3,193,228.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.