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Finding the Third Proportional to 947,247 and 1,285,960.50

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Solution

The third proportional to 947,247 and 1,285,960.50 is: 1,745,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,247 : 1,285,960.50 = 1,285,960.50 : x
  2. Step 2: Convert to fraction form
    947,247/1,285,960.50 = 1,285,960.50/x
  3. Step 3: Cross multiply
    947,247x = 1,285,960.50 × 1,285,960.50
  4. Step 4: Simplify right side
    947,247x = 1,653,694,407,560.25
  5. Step 5: Solve for x
    x = 1,653,694,407,560.25/947,247
  6. Step 6: Final answer
    x = 1,745,790.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.