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Finding the Third Proportional to 467,567 and 1,008,102

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Solution

The third proportional to 467,567 and 1,008,102 is: 2,173,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,567 : 1,008,102 = 1,008,102 : x
  2. Step 2: Convert to fraction form
    467,567/1,008,102 = 1,008,102/x
  3. Step 3: Cross multiply
    467,567x = 1,008,102 × 1,008,102
  4. Step 4: Simplify right side
    467,567x = 1,016,269,642,404
  5. Step 5: Solve for x
    x = 1,016,269,642,404/467,567
  6. Step 6: Final answer
    x = 2,173,527.31

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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.