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Finding the Third Proportional to 654,974 and 999,951

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Solution

The third proportional to 654,974 and 999,951 is: 1,526,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,974 : 999,951 = 999,951 : x
  2. Step 2: Convert to fraction form
    654,974/999,951 = 999,951/x
  3. Step 3: Cross multiply
    654,974x = 999,951 × 999,951
  4. Step 4: Simplify right side
    654,974x = 999,902,002,401
  5. Step 5: Solve for x
    x = 999,902,002,401/654,974
  6. Step 6: Final answer
    x = 1,526,628.54

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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.