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Finding the Third Proportional to 1,350,729 and 2,882,214

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Solution

The third proportional to 1,350,729 and 2,882,214 is: 6,150,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,729 : 2,882,214 = 2,882,214 : x
  2. Step 2: Convert to fraction form
    1,350,729/2,882,214 = 2,882,214/x
  3. Step 3: Cross multiply
    1,350,729x = 2,882,214 × 2,882,214
  4. Step 4: Simplify right side
    1,350,729x = 8,307,157,541,796
  5. Step 5: Solve for x
    x = 8,307,157,541,796/1,350,729
  6. Step 6: Final answer
    x = 6,150,128.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.