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Finding the Third Proportional to 523,094 and 1,108,960

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Solution

The third proportional to 523,094 and 1,108,960 is: 2,350,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,094 : 1,108,960 = 1,108,960 : x
  2. Step 2: Convert to fraction form
    523,094/1,108,960 = 1,108,960/x
  3. Step 3: Cross multiply
    523,094x = 1,108,960 × 1,108,960
  4. Step 4: Simplify right side
    523,094x = 1,229,792,281,600
  5. Step 5: Solve for x
    x = 1,229,792,281,600/523,094
  6. Step 6: Final answer
    x = 2,350,996.73

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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.