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Finding the Third Proportional to 541,817,872 and 1,187,148,638

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Solution

The third proportional to 541,817,872 and 1,187,148,638 is: 2,601,098,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,817,872 : 1,187,148,638 = 1,187,148,638 : x
  2. Step 2: Convert to fraction form
    541,817,872/1,187,148,638 = 1,187,148,638/x
  3. Step 3: Cross multiply
    541,817,872x = 1,187,148,638 × 1,187,148,638
  4. Step 4: Simplify right side
    541,817,872x = 1,409,321,888,705,255,168
  5. Step 5: Solve for x
    x = 1,409,321,888,705,255,168/541,817,872
  6. Step 6: Final answer
    x = 2,601,098,932.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.