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Finding the Third Proportional to 1,259,408,866 and 1,975,461,891

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Solution

The third proportional to 1,259,408,866 and 1,975,461,891 is: 3,098,636,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,408,866 : 1,975,461,891 = 1,975,461,891 : x
  2. Step 2: Convert to fraction form
    1,259,408,866/1,975,461,891 = 1,975,461,891/x
  3. Step 3: Cross multiply
    1,259,408,866x = 1,975,461,891 × 1,975,461,891
  4. Step 4: Simplify right side
    1,259,408,866x = 3,902,449,682,793,295,872
  5. Step 5: Solve for x
    x = 3,902,449,682,793,295,872/1,259,408,866
  6. Step 6: Final answer
    x = 3,098,636,025.32

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Why These Related Problems?

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