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Finding the Third Proportional to 481,761 and 1,037,515.50

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Solution

The third proportional to 481,761 and 1,037,515.50 is: 2,234,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,761 : 1,037,515.50 = 1,037,515.50 : x
  2. Step 2: Convert to fraction form
    481,761/1,037,515.50 = 1,037,515.50/x
  3. Step 3: Cross multiply
    481,761x = 1,037,515.50 × 1,037,515.50
  4. Step 4: Simplify right side
    481,761x = 1,076,438,412,740.25
  5. Step 5: Solve for x
    x = 1,076,438,412,740.25/481,761
  6. Step 6: Final answer
    x = 2,234,382.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.