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Finding the Third Proportional to 545,832 and 1,180,440

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Solution

The third proportional to 545,832 and 1,180,440 is: 2,552,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,832 : 1,180,440 = 1,180,440 : x
  2. Step 2: Convert to fraction form
    545,832/1,180,440 = 1,180,440/x
  3. Step 3: Cross multiply
    545,832x = 1,180,440 × 1,180,440
  4. Step 4: Simplify right side
    545,832x = 1,393,438,593,600
  5. Step 5: Solve for x
    x = 1,393,438,593,600/545,832
  6. Step 6: Final answer
    x = 2,552,870.83

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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.