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Finding the Third Proportional to 756,498,638 and 1,186,615,608

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Solution

The third proportional to 756,498,638 and 1,186,615,608 is: 1,861,281,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,498,638 : 1,186,615,608 = 1,186,615,608 : x
  2. Step 2: Convert to fraction form
    756,498,638/1,186,615,608 = 1,186,615,608/x
  3. Step 3: Cross multiply
    756,498,638x = 1,186,615,608 × 1,186,615,608
  4. Step 4: Simplify right side
    756,498,638x = 1,408,056,601,149,209,600
  5. Step 5: Solve for x
    x = 1,408,056,601,149,209,600/756,498,638
  6. Step 6: Final answer
    x = 1,861,281,078.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.