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Finding the Third Proportional to 618,201 and 1,318,058

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Solution

The third proportional to 618,201 and 1,318,058 is: 2,810,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,201 : 1,318,058 = 1,318,058 : x
  2. Step 2: Convert to fraction form
    618,201/1,318,058 = 1,318,058/x
  3. Step 3: Cross multiply
    618,201x = 1,318,058 × 1,318,058
  4. Step 4: Simplify right side
    618,201x = 1,737,276,891,364
  5. Step 5: Solve for x
    x = 1,737,276,891,364/618,201
  6. Step 6: Final answer
    x = 2,810,213.65

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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.