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Finding the Third Proportional to 465,930 and 1,008,027

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Solution

The third proportional to 465,930 and 1,008,027 is: 2,180,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930 : 1,008,027 = 1,008,027 : x
  2. Step 2: Convert to fraction form
    465,930/1,008,027 = 1,008,027/x
  3. Step 3: Cross multiply
    465,930x = 1,008,027 × 1,008,027
  4. Step 4: Simplify right side
    465,930x = 1,016,118,432,729
  5. Step 5: Solve for x
    x = 1,016,118,432,729/465,930
  6. Step 6: Final answer
    x = 2,180,839.25

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Why These Related Problems?

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