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Finding the Third Proportional to 812,305,166 and 1,237,503,765

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Solution

The third proportional to 812,305,166 and 1,237,503,765 is: 1,885,271,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,305,166 : 1,237,503,765 = 1,237,503,765 : x
  2. Step 2: Convert to fraction form
    812,305,166/1,237,503,765 = 1,237,503,765/x
  3. Step 3: Cross multiply
    812,305,166x = 1,237,503,765 × 1,237,503,765
  4. Step 4: Simplify right side
    812,305,166x = 1,531,415,568,389,175,296
  5. Step 5: Solve for x
    x = 1,531,415,568,389,175,296/812,305,166
  6. Step 6: Final answer
    x = 1,885,271,241.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.