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Finding the Third Proportional to 392,786,724 and 589,180,092

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Solution

The third proportional to 392,786,724 and 589,180,092 is: 883,770,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,786,724 : 589,180,092 = 589,180,092 : x
  2. Step 2: Convert to fraction form
    392,786,724/589,180,092 = 589,180,092/x
  3. Step 3: Cross multiply
    392,786,724x = 589,180,092 × 589,180,092
  4. Step 4: Simplify right side
    392,786,724x = 347,133,180,809,128,448
  5. Step 5: Solve for x
    x = 347,133,180,809,128,448/392,786,724
  6. Step 6: Final answer
    x = 883,770,147

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.