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Finding the Third Proportional to 591,605,116 and 923,222,322

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Solution

The third proportional to 591,605,116 and 923,222,322 is: 1,440,723,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,605,116 : 923,222,322 = 923,222,322 : x
  2. Step 2: Convert to fraction form
    591,605,116/923,222,322 = 923,222,322/x
  3. Step 3: Cross multiply
    591,605,116x = 923,222,322 × 923,222,322
  4. Step 4: Simplify right side
    591,605,116x = 852,339,455,839,071,744
  5. Step 5: Solve for x
    x = 852,339,455,839,071,744/591,605,116
  6. Step 6: Final answer
    x = 1,440,723,605.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.