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Finding the Third Proportional to 1,170,529,265 and 1,691,212,642

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Solution

The third proportional to 1,170,529,265 and 1,691,212,642 is: 2,443,510,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,529,265 : 1,691,212,642 = 1,691,212,642 : x
  2. Step 2: Convert to fraction form
    1,170,529,265/1,691,212,642 = 1,691,212,642/x
  3. Step 3: Cross multiply
    1,170,529,265x = 1,691,212,642 × 1,691,212,642
  4. Step 4: Simplify right side
    1,170,529,265x = 2,860,200,200,460,620,288
  5. Step 5: Solve for x
    x = 2,860,200,200,460,620,288/1,170,529,265
  6. Step 6: Final answer
    x = 2,443,510,201.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.