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Finding the Third Proportional to 481,821 and 1,037,639

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Solution

The third proportional to 481,821 and 1,037,639 is: 2,234,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,821 : 1,037,639 = 1,037,639 : x
  2. Step 2: Convert to fraction form
    481,821/1,037,639 = 1,037,639/x
  3. Step 3: Cross multiply
    481,821x = 1,037,639 × 1,037,639
  4. Step 4: Simplify right side
    481,821x = 1,076,694,694,321
  5. Step 5: Solve for x
    x = 1,076,694,694,321/481,821
  6. Step 6: Final answer
    x = 2,234,636.30

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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.