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Finding the Third Proportional to 980,256 and 1,499,220

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Solution

The third proportional to 980,256 and 1,499,220 is: 2,292,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,256 : 1,499,220 = 1,499,220 : x
  2. Step 2: Convert to fraction form
    980,256/1,499,220 = 1,499,220/x
  3. Step 3: Cross multiply
    980,256x = 1,499,220 × 1,499,220
  4. Step 4: Simplify right side
    980,256x = 2,247,660,608,400
  5. Step 5: Solve for x
    x = 2,247,660,608,400/980,256
  6. Step 6: Final answer
    x = 2,292,932.26

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