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Finding the Third Proportional to 794,383.88 and 1,176,143.63

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Solution

The third proportional to 794,383.88 and 1,176,143.63 is: 1,741,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,383.88 : 1,176,143.63 = 1,176,143.63 : x
  2. Step 2: Convert to fraction form
    794,383.88/1,176,143.63 = 1,176,143.63/x
  3. Step 3: Cross multiply
    794,383.88x = 1,176,143.63 × 1,176,143.63
  4. Step 4: Simplify right side
    794,383.88x = 1,383,313,826,628.14
  5. Step 5: Solve for x
    x = 1,383,313,826,628.14/794,383.88
  6. Step 6: Final answer
    x = 1,741,366.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.