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Finding the Third Proportional to 618,562 and 947,811

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Solution

The third proportional to 618,562 and 947,811 is: 1,452,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,562 : 947,811 = 947,811 : x
  2. Step 2: Convert to fraction form
    618,562/947,811 = 947,811/x
  3. Step 3: Cross multiply
    618,562x = 947,811 × 947,811
  4. Step 4: Simplify right side
    618,562x = 898,345,691,721
  5. Step 5: Solve for x
    x = 898,345,691,721/618,562
  6. Step 6: Final answer
    x = 1,452,313.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.