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Finding the Third Proportional to 1,086,340 and 2,389,256

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Solution

The third proportional to 1,086,340 and 2,389,256 is: 5,254,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,340 : 2,389,256 = 2,389,256 : x
  2. Step 2: Convert to fraction form
    1,086,340/2,389,256 = 2,389,256/x
  3. Step 3: Cross multiply
    1,086,340x = 2,389,256 × 2,389,256
  4. Step 4: Simplify right side
    1,086,340x = 5,708,544,233,536
  5. Step 5: Solve for x
    x = 5,708,544,233,536/1,086,340
  6. Step 6: Final answer
    x = 5,254,841.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.