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Finding the Third Proportional to 659,451,972 and 1,020,167,667

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Solution

The third proportional to 659,451,972 and 1,020,167,667 is: 1,578,192,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,451,972 : 1,020,167,667 = 1,020,167,667 : x
  2. Step 2: Convert to fraction form
    659,451,972/1,020,167,667 = 1,020,167,667/x
  3. Step 3: Cross multiply
    659,451,972x = 1,020,167,667 × 1,020,167,667
  4. Step 4: Simplify right side
    659,451,972x = 1,040,742,068,792,222,848
  5. Step 5: Solve for x
    x = 1,040,742,068,792,222,848/659,451,972
  6. Step 6: Final answer
    x = 1,578,192,367.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.