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Finding the Third Proportional to 980,408.25 and 1,498,829.63

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Solution

The third proportional to 980,408.25 and 1,498,829.63 is: 2,291,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,408.25 : 1,498,829.63 = 1,498,829.63 : x
  2. Step 2: Convert to fraction form
    980,408.25/1,498,829.63 = 1,498,829.63/x
  3. Step 3: Cross multiply
    980,408.25x = 1,498,829.63 × 1,498,829.63
  4. Step 4: Simplify right side
    980,408.25x = 2,246,490,244,777.64
  5. Step 5: Solve for x
    x = 2,246,490,244,777.64/980,408.25
  6. Step 6: Final answer
    x = 2,291,382.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.