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Finding the Third Proportional to 396,720,792.56 and 926,409,825.84

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Solution

The third proportional to 396,720,792.56 and 926,409,825.84 is: 2,163,322,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,720,792.56 : 926,409,825.84 = 926,409,825.84 : x
  2. Step 2: Convert to fraction form
    396,720,792.56/926,409,825.84 = 926,409,825.84/x
  3. Step 3: Cross multiply
    396,720,792.56x = 926,409,825.84 × 926,409,825.84
  4. Step 4: Simplify right side
    396,720,792.56x = 858,235,165,419,847,168
  5. Step 5: Solve for x
    x = 858,235,165,419,847,168/396,720,792.56
  6. Step 6: Final answer
    x = 2,163,322,874.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.