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Finding the Third Proportional to 810,769.50 and 1,272,550.50

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Solution

The third proportional to 810,769.50 and 1,272,550.50 is: 1,997,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,769.50 : 1,272,550.50 = 1,272,550.50 : x
  2. Step 2: Convert to fraction form
    810,769.50/1,272,550.50 = 1,272,550.50/x
  3. Step 3: Cross multiply
    810,769.50x = 1,272,550.50 × 1,272,550.50
  4. Step 4: Simplify right side
    810,769.50x = 1,619,384,775,050.25
  5. Step 5: Solve for x
    x = 1,619,384,775,050.25/810,769.50
  6. Step 6: Final answer
    x = 1,997,342.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.