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Finding the Third Proportional to 649,001 and 1,409,950

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Solution

The third proportional to 649,001 and 1,409,950 is: 3,063,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,001 : 1,409,950 = 1,409,950 : x
  2. Step 2: Convert to fraction form
    649,001/1,409,950 = 1,409,950/x
  3. Step 3: Cross multiply
    649,001x = 1,409,950 × 1,409,950
  4. Step 4: Simplify right side
    649,001x = 1,987,959,002,500
  5. Step 5: Solve for x
    x = 1,987,959,002,500/649,001
  6. Step 6: Final answer
    x = 3,063,106.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.