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Finding the Third Proportional to 1,047,986 and 2,134,512

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Solution

The third proportional to 1,047,986 and 2,134,512 is: 4,347,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,986 : 2,134,512 = 2,134,512 : x
  2. Step 2: Convert to fraction form
    1,047,986/2,134,512 = 2,134,512/x
  3. Step 3: Cross multiply
    1,047,986x = 2,134,512 × 2,134,512
  4. Step 4: Simplify right side
    1,047,986x = 4,556,141,478,144
  5. Step 5: Solve for x
    x = 4,556,141,478,144/1,047,986
  6. Step 6: Final answer
    x = 4,347,521.32

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.