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Finding the Third Proportional to 1,665,409 and 3,632,009

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Solution

The third proportional to 1,665,409 and 3,632,009 is: 7,920,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,409 : 3,632,009 = 3,632,009 : x
  2. Step 2: Convert to fraction form
    1,665,409/3,632,009 = 3,632,009/x
  3. Step 3: Cross multiply
    1,665,409x = 3,632,009 × 3,632,009
  4. Step 4: Simplify right side
    1,665,409x = 13,191,489,376,081
  5. Step 5: Solve for x
    x = 13,191,489,376,081/1,665,409
  6. Step 6: Final answer
    x = 7,920,870.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.