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Finding the Third Proportional to 2,082,309 and 3,145,606.50

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Solution

The third proportional to 2,082,309 and 3,145,606.50 is: 4,751,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,309 : 3,145,606.50 = 3,145,606.50 : x
  2. Step 2: Convert to fraction form
    2,082,309/3,145,606.50 = 3,145,606.50/x
  3. Step 3: Cross multiply
    2,082,309x = 3,145,606.50 × 3,145,606.50
  4. Step 4: Simplify right side
    2,082,309x = 9,894,840,252,842.25
  5. Step 5: Solve for x
    x = 9,894,840,252,842.25/2,082,309
  6. Step 6: Final answer
    x = 4,751,859.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.