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Finding the Third Proportional to 589,701.94 and 1,289,812.97

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Solution

The third proportional to 589,701.94 and 1,289,812.97 is: 2,821,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,701.94 : 1,289,812.97 = 1,289,812.97 : x
  2. Step 2: Convert to fraction form
    589,701.94/1,289,812.97 = 1,289,812.97/x
  3. Step 3: Cross multiply
    589,701.94x = 1,289,812.97 × 1,289,812.97
  4. Step 4: Simplify right side
    589,701.94x = 1,663,617,494,355.69
  5. Step 5: Solve for x
    x = 1,663,617,494,355.69/589,701.94
  6. Step 6: Final answer
    x = 2,821,115.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.