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Finding the Third Proportional to 1,542,302 and 2,304,381

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Solution

The third proportional to 1,542,302 and 2,304,381 is: 3,443,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,302 : 2,304,381 = 2,304,381 : x
  2. Step 2: Convert to fraction form
    1,542,302/2,304,381 = 2,304,381/x
  3. Step 3: Cross multiply
    1,542,302x = 2,304,381 × 2,304,381
  4. Step 4: Simplify right side
    1,542,302x = 5,310,171,793,161
  5. Step 5: Solve for x
    x = 5,310,171,793,161/1,542,302
  6. Step 6: Final answer
    x = 3,443,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.