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Finding the Third Proportional to 541,152 and 1,175,600

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Solution

The third proportional to 541,152 and 1,175,600 is: 2,553,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,152 : 1,175,600 = 1,175,600 : x
  2. Step 2: Convert to fraction form
    541,152/1,175,600 = 1,175,600/x
  3. Step 3: Cross multiply
    541,152x = 1,175,600 × 1,175,600
  4. Step 4: Simplify right side
    541,152x = 1,382,035,360,000
  5. Step 5: Solve for x
    x = 1,382,035,360,000/541,152
  6. Step 6: Final answer
    x = 2,553,876.47

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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.