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Finding the Third Proportional to 540,976 and 1,175,264

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Solution

The third proportional to 540,976 and 1,175,264 is: 2,553,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,976 : 1,175,264 = 1,175,264 : x
  2. Step 2: Convert to fraction form
    540,976/1,175,264 = 1,175,264/x
  3. Step 3: Cross multiply
    540,976x = 1,175,264 × 1,175,264
  4. Step 4: Simplify right side
    540,976x = 1,381,245,469,696
  5. Step 5: Solve for x
    x = 1,381,245,469,696/540,976
  6. Step 6: Final answer
    x = 2,553,247.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.