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Finding the Third Proportional to 545,840 and 1,180,456

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Solution

The third proportional to 545,840 and 1,180,456 is: 2,552,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,840 : 1,180,456 = 1,180,456 : x
  2. Step 2: Convert to fraction form
    545,840/1,180,456 = 1,180,456/x
  3. Step 3: Cross multiply
    545,840x = 1,180,456 × 1,180,456
  4. Step 4: Simplify right side
    545,840x = 1,393,476,367,936
  5. Step 5: Solve for x
    x = 1,393,476,367,936/545,840
  6. Step 6: Final answer
    x = 2,552,902.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.