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Finding the Third Proportional to 1,380,624 and 2,966,176

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Solution

The third proportional to 1,380,624 and 2,966,176 is: 6,372,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,624 : 2,966,176 = 2,966,176 : x
  2. Step 2: Convert to fraction form
    1,380,624/2,966,176 = 2,966,176/x
  3. Step 3: Cross multiply
    1,380,624x = 2,966,176 × 2,966,176
  4. Step 4: Simplify right side
    1,380,624x = 8,798,200,062,976
  5. Step 5: Solve for x
    x = 8,798,200,062,976/1,380,624
  6. Step 6: Final answer
    x = 6,372,625.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.