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Finding the Third Proportional to 920,126 and 1,396,743

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Solution

The third proportional to 920,126 and 1,396,743 is: 2,120,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,126 : 1,396,743 = 1,396,743 : x
  2. Step 2: Convert to fraction form
    920,126/1,396,743 = 1,396,743/x
  3. Step 3: Cross multiply
    920,126x = 1,396,743 × 1,396,743
  4. Step 4: Simplify right side
    920,126x = 1,950,891,008,049
  5. Step 5: Solve for x
    x = 1,950,891,008,049/920,126
  6. Step 6: Final answer
    x = 2,120,243.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.