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Finding the Third Proportional to 481,813 and 1,037,623

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Solution

The third proportional to 481,813 and 1,037,623 is: 2,234,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,813 : 1,037,623 = 1,037,623 : x
  2. Step 2: Convert to fraction form
    481,813/1,037,623 = 1,037,623/x
  3. Step 3: Cross multiply
    481,813x = 1,037,623 × 1,037,623
  4. Step 4: Simplify right side
    481,813x = 1,076,661,490,129
  5. Step 5: Solve for x
    x = 1,076,661,490,129/481,813
  6. Step 6: Final answer
    x = 2,234,604.48

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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.