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Finding the Third Proportional to 980,268 and 1,499,238

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Solution

The third proportional to 980,268 and 1,499,238 is: 2,292,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,268 : 1,499,238 = 1,499,238 : x
  2. Step 2: Convert to fraction form
    980,268/1,499,238 = 1,499,238/x
  3. Step 3: Cross multiply
    980,268x = 1,499,238 × 1,499,238
  4. Step 4: Simplify right side
    980,268x = 2,247,714,580,644
  5. Step 5: Solve for x
    x = 2,247,714,580,644/980,268
  6. Step 6: Final answer
    x = 2,292,959.25

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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.