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Finding the Third Proportional to 541,026 and 1,157,100

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Solution

The third proportional to 541,026 and 1,157,100 is: 2,474,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,026 : 1,157,100 = 1,157,100 : x
  2. Step 2: Convert to fraction form
    541,026/1,157,100 = 1,157,100/x
  3. Step 3: Cross multiply
    541,026x = 1,157,100 × 1,157,100
  4. Step 4: Simplify right side
    541,026x = 1,338,880,410,000
  5. Step 5: Solve for x
    x = 1,338,880,410,000/541,026
  6. Step 6: Final answer
    x = 2,474,706.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.