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Finding the Third Proportional to 5,200,965 and 6,902,955

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Solution

The third proportional to 5,200,965 and 6,902,955 is: 9,161,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,965 : 6,902,955 = 6,902,955 : x
  2. Step 2: Convert to fraction form
    5,200,965/6,902,955 = 6,902,955/x
  3. Step 3: Cross multiply
    5,200,965x = 6,902,955 × 6,902,955
  4. Step 4: Simplify right side
    5,200,965x = 47,650,787,732,025
  5. Step 5: Solve for x
    x = 47,650,787,732,025/5,200,965
  6. Step 6: Final answer
    x = 9,161,912.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.