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Finding the Third Proportional to 1,418,712 and 3,086,256

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Solution

The third proportional to 1,418,712 and 3,086,256 is: 6,713,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,712 : 3,086,256 = 3,086,256 : x
  2. Step 2: Convert to fraction form
    1,418,712/3,086,256 = 3,086,256/x
  3. Step 3: Cross multiply
    1,418,712x = 3,086,256 × 3,086,256
  4. Step 4: Simplify right side
    1,418,712x = 9,524,976,097,536
  5. Step 5: Solve for x
    x = 9,524,976,097,536/1,418,712
  6. Step 6: Final answer
    x = 6,713,819.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.