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Finding the Third Proportional to 595,972.69 and 1,305,316.27

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Solution

The third proportional to 595,972.69 and 1,305,316.27 is: 2,858,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,972.69 : 1,305,316.27 = 1,305,316.27 : x
  2. Step 2: Convert to fraction form
    595,972.69/1,305,316.27 = 1,305,316.27/x
  3. Step 3: Cross multiply
    595,972.69x = 1,305,316.27 × 1,305,316.27
  4. Step 4: Simplify right side
    595,972.69x = 1,703,850,553,305.20
  5. Step 5: Solve for x
    x = 1,703,850,553,305.20/595,972.69
  6. Step 6: Final answer
    x = 2,858,940.67

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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.