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Finding the Third Proportional to 618,216 and 1,318,086

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Solution

The third proportional to 618,216 and 1,318,086 is: 2,810,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,216 : 1,318,086 = 1,318,086 : x
  2. Step 2: Convert to fraction form
    618,216/1,318,086 = 1,318,086/x
  3. Step 3: Cross multiply
    618,216x = 1,318,086 × 1,318,086
  4. Step 4: Simplify right side
    618,216x = 1,737,350,703,396
  5. Step 5: Solve for x
    x = 1,737,350,703,396/618,216
  6. Step 6: Final answer
    x = 2,810,264.86

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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.