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Finding the Third Proportional to 822,586.50 and 1,749,933

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Solution

The third proportional to 822,586.50 and 1,749,933 is: 3,722,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,586.50 : 1,749,933 = 1,749,933 : x
  2. Step 2: Convert to fraction form
    822,586.50/1,749,933 = 1,749,933/x
  3. Step 3: Cross multiply
    822,586.50x = 1,749,933 × 1,749,933
  4. Step 4: Simplify right side
    822,586.50x = 3,062,265,504,489
  5. Step 5: Solve for x
    x = 3,062,265,504,489/822,586.50
  6. Step 6: Final answer
    x = 3,722,727.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.