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Finding the Third Proportional to 1,304,923,658 and 1,976,338,227

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Solution

The third proportional to 1,304,923,658 and 1,976,338,227 is: 2,993,211,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,923,658 : 1,976,338,227 = 1,976,338,227 : x
  2. Step 2: Convert to fraction form
    1,304,923,658/1,976,338,227 = 1,976,338,227/x
  3. Step 3: Cross multiply
    1,304,923,658x = 1,976,338,227 × 1,976,338,227
  4. Step 4: Simplify right side
    1,304,923,658x = 3,905,912,787,501,503,488
  5. Step 5: Solve for x
    x = 3,905,912,787,501,503,488/1,304,923,658
  6. Step 6: Final answer
    x = 2,993,211,720.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.