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Finding the Third Proportional to 460,882,646 and 673,826,538

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Solution

The third proportional to 460,882,646 and 673,826,538 is: 985,157,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882,646 : 673,826,538 = 673,826,538 : x
  2. Step 2: Convert to fraction form
    460,882,646/673,826,538 = 673,826,538/x
  3. Step 3: Cross multiply
    460,882,646x = 673,826,538 × 673,826,538
  4. Step 4: Simplify right side
    460,882,646x = 454,042,203,313,065,472
  5. Step 5: Solve for x
    x = 454,042,203,313,065,472/460,882,646
  6. Step 6: Final answer
    x = 985,157,951.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.