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Finding the Third Proportional to 591,605,112 and 923,222,335.50

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Solution

The third proportional to 591,605,112 and 923,222,335.50 is: 1,440,723,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,605,112 : 923,222,335.50 = 923,222,335.50 : x
  2. Step 2: Convert to fraction form
    591,605,112/923,222,335.50 = 923,222,335.50/x
  3. Step 3: Cross multiply
    591,605,112x = 923,222,335.50 × 923,222,335.50
  4. Step 4: Simplify right side
    591,605,112x = 852,339,480,766,074,624
  5. Step 5: Solve for x
    x = 852,339,480,766,074,624/591,605,112
  6. Step 6: Final answer
    x = 1,440,723,657.52

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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.