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Finding the Third Proportional to 1,478,922 and 3,182,016

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Solution

The third proportional to 1,478,922 and 3,182,016 is: 6,846,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,922 : 3,182,016 = 3,182,016 : x
  2. Step 2: Convert to fraction form
    1,478,922/3,182,016 = 3,182,016/x
  3. Step 3: Cross multiply
    1,478,922x = 3,182,016 × 3,182,016
  4. Step 4: Simplify right side
    1,478,922x = 10,125,225,824,256
  5. Step 5: Solve for x
    x = 10,125,225,824,256/1,478,922
  6. Step 6: Final answer
    x = 6,846,355.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.