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Finding the Third Proportional to 547,880 and 1,177,240

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Solution

The third proportional to 547,880 and 1,177,240 is: 2,529,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,880 : 1,177,240 = 1,177,240 : x
  2. Step 2: Convert to fraction form
    547,880/1,177,240 = 1,177,240/x
  3. Step 3: Cross multiply
    547,880x = 1,177,240 × 1,177,240
  4. Step 4: Simplify right side
    547,880x = 1,385,894,017,600
  5. Step 5: Solve for x
    x = 1,385,894,017,600/547,880
  6. Step 6: Final answer
    x = 2,529,557.60

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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.