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Finding the Third Proportional to 2,482,652 and 3,796,174

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Solution

The third proportional to 2,482,652 and 3,796,174 is: 5,804,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482,652 : 3,796,174 = 3,796,174 : x
  2. Step 2: Convert to fraction form
    2,482,652/3,796,174 = 3,796,174/x
  3. Step 3: Cross multiply
    2,482,652x = 3,796,174 × 3,796,174
  4. Step 4: Simplify right side
    2,482,652x = 14,410,937,038,276
  5. Step 5: Solve for x
    x = 14,410,937,038,276/2,482,652
  6. Step 6: Final answer
    x = 5,804,654.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.