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Finding the Third Proportional to 1,162,956 and 2,464,002

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Solution

The third proportional to 1,162,956 and 2,464,002 is: 5,220,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,956 : 2,464,002 = 2,464,002 : x
  2. Step 2: Convert to fraction form
    1,162,956/2,464,002 = 2,464,002/x
  3. Step 3: Cross multiply
    1,162,956x = 2,464,002 × 2,464,002
  4. Step 4: Simplify right side
    1,162,956x = 6,071,305,856,004
  5. Step 5: Solve for x
    x = 6,071,305,856,004/1,162,956
  6. Step 6: Final answer
    x = 5,220,580.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.