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Finding the Third Proportional to 433,108 and 913,608

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Solution

The third proportional to 433,108 and 913,608 is: 1,927,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,108 : 913,608 = 913,608 : x
  2. Step 2: Convert to fraction form
    433,108/913,608 = 913,608/x
  3. Step 3: Cross multiply
    433,108x = 913,608 × 913,608
  4. Step 4: Simplify right side
    433,108x = 834,679,577,664
  5. Step 5: Solve for x
    x = 834,679,577,664/433,108
  6. Step 6: Final answer
    x = 1,927,185.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.