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Finding the Third Proportional to 252,129,440 and 541,923,520

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Solution

The third proportional to 252,129,440 and 541,923,520 is: 1,164,802,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,129,440 : 541,923,520 = 541,923,520 : x
  2. Step 2: Convert to fraction form
    252,129,440/541,923,520 = 541,923,520/x
  3. Step 3: Cross multiply
    252,129,440x = 541,923,520 × 541,923,520
  4. Step 4: Simplify right side
    252,129,440x = 293,681,101,529,190,400
  5. Step 5: Solve for x
    x = 293,681,101,529,190,400/252,129,440
  6. Step 6: Final answer
    x = 1,164,802,894.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.