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Finding the Third Proportional to 591,605,064 and 923,222,256

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Solution

The third proportional to 591,605,064 and 923,222,256 is: 1,440,723,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,605,064 : 923,222,256 = 923,222,256 : x
  2. Step 2: Convert to fraction form
    591,605,064/923,222,256 = 923,222,256/x
  3. Step 3: Cross multiply
    591,605,064x = 923,222,256 × 923,222,256
  4. Step 4: Simplify right side
    591,605,064x = 852,339,333,973,729,536
  5. Step 5: Solve for x
    x = 852,339,333,973,729,536/591,605,064
  6. Step 6: Final answer
    x = 1,440,723,526.28

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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.