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Finding the Third Proportional to 1,031,744 and 1,376,027

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Solution

The third proportional to 1,031,744 and 1,376,027 is: 1,835,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,744 : 1,376,027 = 1,376,027 : x
  2. Step 2: Convert to fraction form
    1,031,744/1,376,027 = 1,376,027/x
  3. Step 3: Cross multiply
    1,031,744x = 1,376,027 × 1,376,027
  4. Step 4: Simplify right side
    1,031,744x = 1,893,450,304,729
  5. Step 5: Solve for x
    x = 1,893,450,304,729/1,031,744
  6. Step 6: Final answer
    x = 1,835,193.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.