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Finding the Third Proportional to 1,343,016 and 2,884,812

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Solution

The third proportional to 1,343,016 and 2,884,812 is: 6,196,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,016 : 2,884,812 = 2,884,812 : x
  2. Step 2: Convert to fraction form
    1,343,016/2,884,812 = 2,884,812/x
  3. Step 3: Cross multiply
    1,343,016x = 2,884,812 × 2,884,812
  4. Step 4: Simplify right side
    1,343,016x = 8,322,140,275,344
  5. Step 5: Solve for x
    x = 8,322,140,275,344/1,343,016
  6. Step 6: Final answer
    x = 6,196,605.46

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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.