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Finding the Third Proportional to 1,015,824 and 2,212,256

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Solution

The third proportional to 1,015,824 and 2,212,256 is: 4,817,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,824 : 2,212,256 = 2,212,256 : x
  2. Step 2: Convert to fraction form
    1,015,824/2,212,256 = 2,212,256/x
  3. Step 3: Cross multiply
    1,015,824x = 2,212,256 × 2,212,256
  4. Step 4: Simplify right side
    1,015,824x = 4,894,076,609,536
  5. Step 5: Solve for x
    x = 4,894,076,609,536/1,015,824
  6. Step 6: Final answer
    x = 4,817,839.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.