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Finding the Third Proportional to 686,919 and 1,496,016

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Solution

The third proportional to 686,919 and 1,496,016 is: 3,258,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,919 : 1,496,016 = 1,496,016 : x
  2. Step 2: Convert to fraction form
    686,919/1,496,016 = 1,496,016/x
  3. Step 3: Cross multiply
    686,919x = 1,496,016 × 1,496,016
  4. Step 4: Simplify right side
    686,919x = 2,238,063,872,256
  5. Step 5: Solve for x
    x = 2,238,063,872,256/686,919
  6. Step 6: Final answer
    x = 3,258,119.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.