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Finding the Third Proportional to 589,393.13 and 1,289,125.13

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Solution

The third proportional to 589,393.13 and 1,289,125.13 is: 2,819,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,393.13 : 1,289,125.13 = 1,289,125.13 : x
  2. Step 2: Convert to fraction form
    589,393.13/1,289,125.13 = 1,289,125.13/x
  3. Step 3: Cross multiply
    589,393.13x = 1,289,125.13 × 1,289,125.13
  4. Step 4: Simplify right side
    589,393.13x = 1,661,843,587,906.27
  5. Step 5: Solve for x
    x = 1,661,843,587,906.27/589,393.13
  6. Step 6: Final answer
    x = 2,819,584.28

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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.