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Finding the Third Proportional to 2,451,174 and 3,661,929

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Solution

The third proportional to 2,451,174 and 3,661,929 is: 5,470,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,174 : 3,661,929 = 3,661,929 : x
  2. Step 2: Convert to fraction form
    2,451,174/3,661,929 = 3,661,929/x
  3. Step 3: Cross multiply
    2,451,174x = 3,661,929 × 3,661,929
  4. Step 4: Simplify right side
    2,451,174x = 13,409,724,001,041
  5. Step 5: Solve for x
    x = 13,409,724,001,041/2,451,174
  6. Step 6: Final answer
    x = 5,470,735.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.