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Finding the Third Proportional to 467,424 and 1,008,416

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Solution

The third proportional to 467,424 and 1,008,416 is: 2,175,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,424 : 1,008,416 = 1,008,416 : x
  2. Step 2: Convert to fraction form
    467,424/1,008,416 = 1,008,416/x
  3. Step 3: Cross multiply
    467,424x = 1,008,416 × 1,008,416
  4. Step 4: Simplify right side
    467,424x = 1,016,902,829,056
  5. Step 5: Solve for x
    x = 1,016,902,829,056/467,424
  6. Step 6: Final answer
    x = 2,175,546.89

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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.