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Finding the Third Proportional to 1,540,638.98 and 2,404,226.34

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Solution

The third proportional to 1,540,638.98 and 2,404,226.34 is: 3,751,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,638.98 : 2,404,226.34 = 2,404,226.34 : x
  2. Step 2: Convert to fraction form
    1,540,638.98/2,404,226.34 = 2,404,226.34/x
  3. Step 3: Cross multiply
    1,540,638.98x = 2,404,226.34 × 2,404,226.34
  4. Step 4: Simplify right side
    1,540,638.98x = 5,780,304,283,806.85
  5. Step 5: Solve for x
    x = 5,780,304,283,806.85/1,540,638.98
  6. Step 6: Final answer
    x = 3,751,887.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.