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Finding the Third Proportional to 547,328 and 1,176,152

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Solution

The third proportional to 547,328 and 1,176,152 is: 2,527,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,328 : 1,176,152 = 1,176,152 : x
  2. Step 2: Convert to fraction form
    547,328/1,176,152 = 1,176,152/x
  3. Step 3: Cross multiply
    547,328x = 1,176,152 × 1,176,152
  4. Step 4: Simplify right side
    547,328x = 1,383,333,527,104
  5. Step 5: Solve for x
    x = 1,383,333,527,104/547,328
  6. Step 6: Final answer
    x = 2,527,430.58

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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.