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Finding the Third Proportional to 1,233,351 and 2,601,663.75

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Solution

The third proportional to 1,233,351 and 2,601,663.75 is: 5,488,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,351 : 2,601,663.75 = 2,601,663.75 : x
  2. Step 2: Convert to fraction form
    1,233,351/2,601,663.75 = 2,601,663.75/x
  3. Step 3: Cross multiply
    1,233,351x = 2,601,663.75 × 2,601,663.75
  4. Step 4: Simplify right side
    1,233,351x = 6,768,654,268,064.06
  5. Step 5: Solve for x
    x = 6,768,654,268,064.06/1,233,351
  6. Step 6: Final answer
    x = 5,488,019.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.