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Finding the Third Proportional to 392,614,254 and 850,660,398

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Solution

The third proportional to 392,614,254 and 850,660,398 is: 1,843,089,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,614,254 : 850,660,398 = 850,660,398 : x
  2. Step 2: Convert to fraction form
    392,614,254/850,660,398 = 850,660,398/x
  3. Step 3: Cross multiply
    392,614,254x = 850,660,398 × 850,660,398
  4. Step 4: Simplify right side
    392,614,254x = 723,623,112,725,518,464
  5. Step 5: Solve for x
    x = 723,623,112,725,518,464/392,614,254
  6. Step 6: Final answer
    x = 1,843,089,254.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.