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Finding the Third Proportional to 825,843.75 and 1,263,453

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Solution

The third proportional to 825,843.75 and 1,263,453 is: 1,932,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,843.75 : 1,263,453 = 1,263,453 : x
  2. Step 2: Convert to fraction form
    825,843.75/1,263,453 = 1,263,453/x
  3. Step 3: Cross multiply
    825,843.75x = 1,263,453 × 1,263,453
  4. Step 4: Simplify right side
    825,843.75x = 1,596,313,483,209
  5. Step 5: Solve for x
    x = 1,596,313,483,209/825,843.75
  6. Step 6: Final answer
    x = 1,932,948.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.