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Finding the Third Proportional to 1,149,296 and 1,818,960

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Solution

The third proportional to 1,149,296 and 1,818,960 is: 2,878,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,296 : 1,818,960 = 1,818,960 : x
  2. Step 2: Convert to fraction form
    1,149,296/1,818,960 = 1,818,960/x
  3. Step 3: Cross multiply
    1,149,296x = 1,818,960 × 1,818,960
  4. Step 4: Simplify right side
    1,149,296x = 3,308,615,481,600
  5. Step 5: Solve for x
    x = 3,308,615,481,600/1,149,296
  6. Step 6: Final answer
    x = 2,878,819.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.