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Finding the Third Proportional to 547,240 and 1,175,966

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Solution

The third proportional to 547,240 and 1,175,966 is: 2,527,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,240 : 1,175,966 = 1,175,966 : x
  2. Step 2: Convert to fraction form
    547,240/1,175,966 = 1,175,966/x
  3. Step 3: Cross multiply
    547,240x = 1,175,966 × 1,175,966
  4. Step 4: Simplify right side
    547,240x = 1,382,896,033,156
  5. Step 5: Solve for x
    x = 1,382,896,033,156/547,240
  6. Step 6: Final answer
    x = 2,527,037.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.