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Finding the Third Proportional to 1,022,984.44 and 1,489,498.88

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Solution

The third proportional to 1,022,984.44 and 1,489,498.88 is: 2,168,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,984.44 : 1,489,498.88 = 1,489,498.88 : x
  2. Step 2: Convert to fraction form
    1,022,984.44/1,489,498.88 = 1,489,498.88/x
  3. Step 3: Cross multiply
    1,022,984.44x = 1,489,498.88 × 1,489,498.88
  4. Step 4: Simplify right side
    1,022,984.44x = 2,218,606,898,626.27
  5. Step 5: Solve for x
    x = 2,218,606,898,626.27/1,022,984.44
  6. Step 6: Final answer
    x = 2,168,759.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.