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Finding the Third Proportional to 649,000.50 and 1,409,949

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Solution

The third proportional to 649,000.50 and 1,409,949 is: 3,063,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,000.50 : 1,409,949 = 1,409,949 : x
  2. Step 2: Convert to fraction form
    649,000.50/1,409,949 = 1,409,949/x
  3. Step 3: Cross multiply
    649,000.50x = 1,409,949 × 1,409,949
  4. Step 4: Simplify right side
    649,000.50x = 1,987,956,182,601
  5. Step 5: Solve for x
    x = 1,987,956,182,601/649,000.50
  6. Step 6: Final answer
    x = 3,063,104.24

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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.