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Finding the Third Proportional to 1,164,644 and 2,469,256

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Solution

The third proportional to 1,164,644 and 2,469,256 is: 5,235,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,644 : 2,469,256 = 2,469,256 : x
  2. Step 2: Convert to fraction form
    1,164,644/2,469,256 = 2,469,256/x
  3. Step 3: Cross multiply
    1,164,644x = 2,469,256 × 2,469,256
  4. Step 4: Simplify right side
    1,164,644x = 6,097,225,193,536
  5. Step 5: Solve for x
    x = 6,097,225,193,536/1,164,644
  6. Step 6: Final answer
    x = 5,235,269.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.