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Finding the Third Proportional to 465,936 and 1,008,039

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Solution

The third proportional to 465,936 and 1,008,039 is: 2,180,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,936 : 1,008,039 = 1,008,039 : x
  2. Step 2: Convert to fraction form
    465,936/1,008,039 = 1,008,039/x
  3. Step 3: Cross multiply
    465,936x = 1,008,039 × 1,008,039
  4. Step 4: Simplify right side
    465,936x = 1,016,142,625,521
  5. Step 5: Solve for x
    x = 1,016,142,625,521/465,936
  6. Step 6: Final answer
    x = 2,180,863.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.