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Finding the Third Proportional to 589,713.75 and 1,289,835.56

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Solution

The third proportional to 589,713.75 and 1,289,835.56 is: 2,821,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,713.75 : 1,289,835.56 = 1,289,835.56 : x
  2. Step 2: Convert to fraction form
    589,713.75/1,289,835.56 = 1,289,835.56/x
  3. Step 3: Cross multiply
    589,713.75x = 1,289,835.56 × 1,289,835.56
  4. Step 4: Simplify right side
    589,713.75x = 1,663,675,778,289.69
  5. Step 5: Solve for x
    x = 1,663,675,778,289.69/589,713.75
  6. Step 6: Final answer
    x = 2,821,158.19

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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.