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Finding the Third Proportional to 481,706 and 1,037,406

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Solution

The third proportional to 481,706 and 1,037,406 is: 2,234,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,706 : 1,037,406 = 1,037,406 : x
  2. Step 2: Convert to fraction form
    481,706/1,037,406 = 1,037,406/x
  3. Step 3: Cross multiply
    481,706x = 1,037,406 × 1,037,406
  4. Step 4: Simplify right side
    481,706x = 1,076,211,208,836
  5. Step 5: Solve for x
    x = 1,076,211,208,836/481,706
  6. Step 6: Final answer
    x = 2,234,166.09

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