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Finding the Third Proportional to 649,786.50 and 1,425,118.50

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Solution

The third proportional to 649,786.50 and 1,425,118.50 is: 3,125,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,786.50 : 1,425,118.50 = 1,425,118.50 : x
  2. Step 2: Convert to fraction form
    649,786.50/1,425,118.50 = 1,425,118.50/x
  3. Step 3: Cross multiply
    649,786.50x = 1,425,118.50 × 1,425,118.50
  4. Step 4: Simplify right side
    649,786.50x = 2,030,962,739,042.25
  5. Step 5: Solve for x
    x = 2,030,962,739,042.25/649,786.50
  6. Step 6: Final answer
    x = 3,125,584.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.