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Finding the Third Proportional to 1,707,199,862 and 2,560,799,634

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Solution

The third proportional to 1,707,199,862 and 2,560,799,634 is: 3,841,199,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,199,862 : 2,560,799,634 = 2,560,799,634 : x
  2. Step 2: Convert to fraction form
    1,707,199,862/2,560,799,634 = 2,560,799,634/x
  3. Step 3: Cross multiply
    1,707,199,862x = 2,560,799,634 × 2,560,799,634
  4. Step 4: Simplify right side
    1,707,199,862x = 6,557,694,765,494,534,144
  5. Step 5: Solve for x
    x = 6,557,694,765,494,534,144/1,707,199,862
  6. Step 6: Final answer
    x = 3,841,199,212.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.