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Finding the Third Proportional to 547,653 and 1,176,261

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Solution

The third proportional to 547,653 and 1,176,261 is: 2,526,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,653 : 1,176,261 = 1,176,261 : x
  2. Step 2: Convert to fraction form
    547,653/1,176,261 = 1,176,261/x
  3. Step 3: Cross multiply
    547,653x = 1,176,261 × 1,176,261
  4. Step 4: Simplify right side
    547,653x = 1,383,589,940,121
  5. Step 5: Solve for x
    x = 1,383,589,940,121/547,653
  6. Step 6: Final answer
    x = 2,526,398.91

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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.