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Finding the Third Proportional to 1,076,238 and 2,264,016

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Solution

The third proportional to 1,076,238 and 2,264,016 is: 4,762,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,238 : 2,264,016 = 2,264,016 : x
  2. Step 2: Convert to fraction form
    1,076,238/2,264,016 = 2,264,016/x
  3. Step 3: Cross multiply
    1,076,238x = 2,264,016 × 2,264,016
  4. Step 4: Simplify right side
    1,076,238x = 5,125,768,448,256
  5. Step 5: Solve for x
    x = 5,125,768,448,256/1,076,238
  6. Step 6: Final answer
    x = 4,762,671.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.