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Finding the Third Proportional to 676,659 and 1,469,922

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Solution

The third proportional to 676,659 and 1,469,922 is: 3,193,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,659 : 1,469,922 = 1,469,922 : x
  2. Step 2: Convert to fraction form
    676,659/1,469,922 = 1,469,922/x
  3. Step 3: Cross multiply
    676,659x = 1,469,922 × 1,469,922
  4. Step 4: Simplify right side
    676,659x = 2,160,670,686,084
  5. Step 5: Solve for x
    x = 2,160,670,686,084/676,659
  6. Step 6: Final answer
    x = 3,193,145.57

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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.