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Finding the Third Proportional to 1,071,512 and 2,357,296

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Solution

The third proportional to 1,071,512 and 2,357,296 is: 5,185,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,512 : 2,357,296 = 2,357,296 : x
  2. Step 2: Convert to fraction form
    1,071,512/2,357,296 = 2,357,296/x
  3. Step 3: Cross multiply
    1,071,512x = 2,357,296 × 2,357,296
  4. Step 4: Simplify right side
    1,071,512x = 5,556,844,431,616
  5. Step 5: Solve for x
    x = 5,556,844,431,616/1,071,512
  6. Step 6: Final answer
    x = 5,185,984.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.