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Finding the Third Proportional to 2,843,936.50 and 4,024,082.50

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Solution

The third proportional to 2,843,936.50 and 4,024,082.50 is: 5,693,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,936.50 : 4,024,082.50 = 4,024,082.50 : x
  2. Step 2: Convert to fraction form
    2,843,936.50/4,024,082.50 = 4,024,082.50/x
  3. Step 3: Cross multiply
    2,843,936.50x = 4,024,082.50 × 4,024,082.50
  4. Step 4: Simplify right side
    2,843,936.50x = 16,193,239,966,806.25
  5. Step 5: Solve for x
    x = 16,193,239,966,806.25/2,843,936.50
  6. Step 6: Final answer
    x = 5,693,952.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.