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Finding the Third Proportional to 947,586 and 2,025,412

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Solution

The third proportional to 947,586 and 2,025,412 is: 4,329,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,586 : 2,025,412 = 2,025,412 : x
  2. Step 2: Convert to fraction form
    947,586/2,025,412 = 2,025,412/x
  3. Step 3: Cross multiply
    947,586x = 2,025,412 × 2,025,412
  4. Step 4: Simplify right side
    947,586x = 4,102,293,769,744
  5. Step 5: Solve for x
    x = 4,102,293,769,744/947,586
  6. Step 6: Final answer
    x = 4,329,204.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.