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Finding the Third Proportional to 1,356,586.50 and 2,824,808

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Solution

The third proportional to 1,356,586.50 and 2,824,808 is: 5,882,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,586.50 : 2,824,808 = 2,824,808 : x
  2. Step 2: Convert to fraction form
    1,356,586.50/2,824,808 = 2,824,808/x
  3. Step 3: Cross multiply
    1,356,586.50x = 2,824,808 × 2,824,808
  4. Step 4: Simplify right side
    1,356,586.50x = 7,979,540,236,864
  5. Step 5: Solve for x
    x = 7,979,540,236,864/1,356,586.50
  6. Step 6: Final answer
    x = 5,882,072.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.