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Finding the Third Proportional to 1,076,544 and 2,336,256

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Solution

The third proportional to 1,076,544 and 2,336,256 is: 5,070,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,544 : 2,336,256 = 2,336,256 : x
  2. Step 2: Convert to fraction form
    1,076,544/2,336,256 = 2,336,256/x
  3. Step 3: Cross multiply
    1,076,544x = 2,336,256 × 2,336,256
  4. Step 4: Simplify right side
    1,076,544x = 5,458,092,097,536
  5. Step 5: Solve for x
    x = 5,458,092,097,536/1,076,544
  6. Step 6: Final answer
    x = 5,070,013.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.