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Finding the Third Proportional to 1,540,133 and 2,394,201

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Solution

The third proportional to 1,540,133 and 2,394,201 is: 3,721,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,133 : 2,394,201 = 2,394,201 : x
  2. Step 2: Convert to fraction form
    1,540,133/2,394,201 = 2,394,201/x
  3. Step 3: Cross multiply
    1,540,133x = 2,394,201 × 2,394,201
  4. Step 4: Simplify right side
    1,540,133x = 5,732,198,428,401
  5. Step 5: Solve for x
    x = 5,732,198,428,401/1,540,133
  6. Step 6: Final answer
    x = 3,721,885.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.