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Finding the Third Proportional to 543,852 and 1,153,728

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Solution

The third proportional to 543,852 and 1,153,728 is: 2,447,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,852 : 1,153,728 = 1,153,728 : x
  2. Step 2: Convert to fraction form
    543,852/1,153,728 = 1,153,728/x
  3. Step 3: Cross multiply
    543,852x = 1,153,728 × 1,153,728
  4. Step 4: Simplify right side
    543,852x = 1,331,088,297,984
  5. Step 5: Solve for x
    x = 1,331,088,297,984/543,852
  6. Step 6: Final answer
    x = 2,447,519.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.