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Finding the Third Proportional to 488,568 and 1,076,524

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Solution

The third proportional to 488,568 and 1,076,524 is: 2,372,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,568 : 1,076,524 = 1,076,524 : x
  2. Step 2: Convert to fraction form
    488,568/1,076,524 = 1,076,524/x
  3. Step 3: Cross multiply
    488,568x = 1,076,524 × 1,076,524
  4. Step 4: Simplify right side
    488,568x = 1,158,903,922,576
  5. Step 5: Solve for x
    x = 1,158,903,922,576/488,568
  6. Step 6: Final answer
    x = 2,372,042.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.