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Finding the Third Proportional to 481,810 and 1,037,619

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Solution

The third proportional to 481,810 and 1,037,619 is: 2,234,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,810 : 1,037,619 = 1,037,619 : x
  2. Step 2: Convert to fraction form
    481,810/1,037,619 = 1,037,619/x
  3. Step 3: Cross multiply
    481,810x = 1,037,619 × 1,037,619
  4. Step 4: Simplify right side
    481,810x = 1,076,653,189,161
  5. Step 5: Solve for x
    x = 1,076,653,189,161/481,810
  6. Step 6: Final answer
    x = 2,234,601.17

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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.