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Finding the Third Proportional to 488,758 and 1,022,180

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Solution

The third proportional to 488,758 and 1,022,180 is: 2,137,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,758 : 1,022,180 = 1,022,180 : x
  2. Step 2: Convert to fraction form
    488,758/1,022,180 = 1,022,180/x
  3. Step 3: Cross multiply
    488,758x = 1,022,180 × 1,022,180
  4. Step 4: Simplify right side
    488,758x = 1,044,851,952,400
  5. Step 5: Solve for x
    x = 1,044,851,952,400/488,758
  6. Step 6: Final answer
    x = 2,137,769.51

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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.