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Finding the Third Proportional to 852,959 and 1,824,016

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Solution

The third proportional to 852,959 and 1,824,016 is: 3,900,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,959 : 1,824,016 = 1,824,016 : x
  2. Step 2: Convert to fraction form
    852,959/1,824,016 = 1,824,016/x
  3. Step 3: Cross multiply
    852,959x = 1,824,016 × 1,824,016
  4. Step 4: Simplify right side
    852,959x = 3,327,034,368,256
  5. Step 5: Solve for x
    x = 3,327,034,368,256/852,959
  6. Step 6: Final answer
    x = 3,900,579.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.