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Finding the Third Proportional to 1,380,540 and 3,003,972

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Solution

The third proportional to 1,380,540 and 3,003,972 is: 6,536,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,540 : 3,003,972 = 3,003,972 : x
  2. Step 2: Convert to fraction form
    1,380,540/3,003,972 = 3,003,972/x
  3. Step 3: Cross multiply
    1,380,540x = 3,003,972 × 3,003,972
  4. Step 4: Simplify right side
    1,380,540x = 9,023,847,776,784
  5. Step 5: Solve for x
    x = 9,023,847,776,784/1,380,540
  6. Step 6: Final answer
    x = 6,536,462.38

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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.