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Finding the Third Proportional to 416,155,758 and 905,571,682

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Solution

The third proportional to 416,155,758 and 905,571,682 is: 1,970,560,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,155,758 : 905,571,682 = 905,571,682 : x
  2. Step 2: Convert to fraction form
    416,155,758/905,571,682 = 905,571,682/x
  3. Step 3: Cross multiply
    416,155,758x = 905,571,682 × 905,571,682
  4. Step 4: Simplify right side
    416,155,758x = 820,060,071,240,309,120
  5. Step 5: Solve for x
    x = 820,060,071,240,309,120/416,155,758
  6. Step 6: Final answer
    x = 1,970,560,434.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.