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Finding the Third Proportional to 547,655 and 1,176,265

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Solution

The third proportional to 547,655 and 1,176,265 is: 2,526,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,655 : 1,176,265 = 1,176,265 : x
  2. Step 2: Convert to fraction form
    547,655/1,176,265 = 1,176,265/x
  3. Step 3: Cross multiply
    547,655x = 1,176,265 × 1,176,265
  4. Step 4: Simplify right side
    547,655x = 1,383,599,350,225
  5. Step 5: Solve for x
    x = 1,383,599,350,225/547,655
  6. Step 6: Final answer
    x = 2,526,406.86

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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.