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Finding the Third Proportional to 1,380,420 and 2,952,744

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Solution

The third proportional to 1,380,420 and 2,952,744 is: 6,315,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,420 : 2,952,744 = 2,952,744 : x
  2. Step 2: Convert to fraction form
    1,380,420/2,952,744 = 2,952,744/x
  3. Step 3: Cross multiply
    1,380,420x = 2,952,744 × 2,952,744
  4. Step 4: Simplify right side
    1,380,420x = 8,718,697,129,536
  5. Step 5: Solve for x
    x = 8,718,697,129,536/1,380,420
  6. Step 6: Final answer
    x = 6,315,974.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.