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Finding the Third Proportional to 618,538 and 1,318,076

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Solution

The third proportional to 618,538 and 1,318,076 is: 2,808,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,538 : 1,318,076 = 1,318,076 : x
  2. Step 2: Convert to fraction form
    618,538/1,318,076 = 1,318,076/x
  3. Step 3: Cross multiply
    618,538x = 1,318,076 × 1,318,076
  4. Step 4: Simplify right side
    618,538x = 1,737,324,341,776
  5. Step 5: Solve for x
    x = 1,737,324,341,776/618,538
  6. Step 6: Final answer
    x = 2,808,759.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.