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Finding the Third Proportional to 2,694,586.50 and 5,842,428.75

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Solution

The third proportional to 2,694,586.50 and 5,842,428.75 is: 12,667,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,586.50 : 5,842,428.75 = 5,842,428.75 : x
  2. Step 2: Convert to fraction form
    2,694,586.50/5,842,428.75 = 5,842,428.75/x
  3. Step 3: Cross multiply
    2,694,586.50x = 5,842,428.75 × 5,842,428.75
  4. Step 4: Simplify right side
    2,694,586.50x = 34,133,973,698,826.56
  5. Step 5: Solve for x
    x = 34,133,973,698,826.56/2,694,586.50
  6. Step 6: Final answer
    x = 12,667,611.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.