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Finding the Third Proportional to 681,630 and 1,476,105

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Solution

The third proportional to 681,630 and 1,476,105 is: 3,196,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,630 : 1,476,105 = 1,476,105 : x
  2. Step 2: Convert to fraction form
    681,630/1,476,105 = 1,476,105/x
  3. Step 3: Cross multiply
    681,630x = 1,476,105 × 1,476,105
  4. Step 4: Simplify right side
    681,630x = 2,178,885,971,025
  5. Step 5: Solve for x
    x = 2,178,885,971,025/681,630
  6. Step 6: Final answer
    x = 3,196,581.68

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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.