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Finding the Third Proportional to 772,924.50 and 1,226,562.75

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Solution

The third proportional to 772,924.50 and 1,226,562.75 is: 1,946,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,924.50 : 1,226,562.75 = 1,226,562.75 : x
  2. Step 2: Convert to fraction form
    772,924.50/1,226,562.75 = 1,226,562.75/x
  3. Step 3: Cross multiply
    772,924.50x = 1,226,562.75 × 1,226,562.75
  4. Step 4: Simplify right side
    772,924.50x = 1,504,456,179,687.56
  5. Step 5: Solve for x
    x = 1,504,456,179,687.56/772,924.50
  6. Step 6: Final answer
    x = 1,946,446.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.