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Finding the Third Proportional to 654,604,384 and 980,949,022

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Solution

The third proportional to 654,604,384 and 980,949,022 is: 1,469,988,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,604,384 : 980,949,022 = 980,949,022 : x
  2. Step 2: Convert to fraction form
    654,604,384/980,949,022 = 980,949,022/x
  3. Step 3: Cross multiply
    654,604,384x = 980,949,022 × 980,949,022
  4. Step 4: Simplify right side
    654,604,384x = 962,260,983,762,756,480
  5. Step 5: Solve for x
    x = 962,260,983,762,756,480/654,604,384
  6. Step 6: Final answer
    x = 1,469,988,602.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.