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Finding the Third Proportional to 2,305,849.50 and 3,284,734.50

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Solution

The third proportional to 2,305,849.50 and 3,284,734.50 is: 4,679,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,849.50 : 3,284,734.50 = 3,284,734.50 : x
  2. Step 2: Convert to fraction form
    2,305,849.50/3,284,734.50 = 3,284,734.50/x
  3. Step 3: Cross multiply
    2,305,849.50x = 3,284,734.50 × 3,284,734.50
  4. Step 4: Simplify right side
    2,305,849.50x = 10,789,480,735,490.25
  5. Step 5: Solve for x
    x = 10,789,480,735,490.25/2,305,849.50
  6. Step 6: Final answer
    x = 4,679,178.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.