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Finding the Third Proportional to 511,600 and 1,076,224

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Solution

The third proportional to 511,600 and 1,076,224 is: 2,263,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,600 : 1,076,224 = 1,076,224 : x
  2. Step 2: Convert to fraction form
    511,600/1,076,224 = 1,076,224/x
  3. Step 3: Cross multiply
    511,600x = 1,076,224 × 1,076,224
  4. Step 4: Simplify right side
    511,600x = 1,158,258,098,176
  5. Step 5: Solve for x
    x = 1,158,258,098,176/511,600
  6. Step 6: Final answer
    x = 2,263,991.59

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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.