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Finding the Third Proportional to 1,388,256 and 2,815,152

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Solution

The third proportional to 1,388,256 and 2,815,152 is: 5,708,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,256 : 2,815,152 = 2,815,152 : x
  2. Step 2: Convert to fraction form
    1,388,256/2,815,152 = 2,815,152/x
  3. Step 3: Cross multiply
    1,388,256x = 2,815,152 × 2,815,152
  4. Step 4: Simplify right side
    1,388,256x = 7,925,080,783,104
  5. Step 5: Solve for x
    x = 7,925,080,783,104/1,388,256
  6. Step 6: Final answer
    x = 5,708,659.49

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.