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Finding the Third Proportional to 618,264 and 1,302,950

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Solution

The third proportional to 618,264 and 1,302,950 is: 2,745,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,264 : 1,302,950 = 1,302,950 : x
  2. Step 2: Convert to fraction form
    618,264/1,302,950 = 1,302,950/x
  3. Step 3: Cross multiply
    618,264x = 1,302,950 × 1,302,950
  4. Step 4: Simplify right side
    618,264x = 1,697,678,702,500
  5. Step 5: Solve for x
    x = 1,697,678,702,500/618,264
  6. Step 6: Final answer
    x = 2,745,879.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.