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Finding the Third Proportional to 789,446.50 and 1,736,357

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Solution

The third proportional to 789,446.50 and 1,736,357 is: 3,819,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,446.50 : 1,736,357 = 1,736,357 : x
  2. Step 2: Convert to fraction form
    789,446.50/1,736,357 = 1,736,357/x
  3. Step 3: Cross multiply
    789,446.50x = 1,736,357 × 1,736,357
  4. Step 4: Simplify right side
    789,446.50x = 3,014,935,631,449
  5. Step 5: Solve for x
    x = 3,014,935,631,449/789,446.50
  6. Step 6: Final answer
    x = 3,819,049.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.