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Finding the Third Proportional to 807,540 and 1,176,256

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Solution

The third proportional to 807,540 and 1,176,256 is: 1,713,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,540 : 1,176,256 = 1,176,256 : x
  2. Step 2: Convert to fraction form
    807,540/1,176,256 = 1,176,256/x
  3. Step 3: Cross multiply
    807,540x = 1,176,256 × 1,176,256
  4. Step 4: Simplify right side
    807,540x = 1,383,578,177,536
  5. Step 5: Solve for x
    x = 1,383,578,177,536/807,540
  6. Step 6: Final answer
    x = 1,713,324.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.