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Finding the Third Proportional to 638,456 and 1,336,053

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Solution

The third proportional to 638,456 and 1,336,053 is: 2,795,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,456 : 1,336,053 = 1,336,053 : x
  2. Step 2: Convert to fraction form
    638,456/1,336,053 = 1,336,053/x
  3. Step 3: Cross multiply
    638,456x = 1,336,053 × 1,336,053
  4. Step 4: Simplify right side
    638,456x = 1,785,037,618,809
  5. Step 5: Solve for x
    x = 1,785,037,618,809/638,456
  6. Step 6: Final answer
    x = 2,795,866.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.