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Finding the Third Proportional to 629,829 and 1,365,960

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Solution

The third proportional to 629,829 and 1,365,960 is: 2,962,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,829 : 1,365,960 = 1,365,960 : x
  2. Step 2: Convert to fraction form
    629,829/1,365,960 = 1,365,960/x
  3. Step 3: Cross multiply
    629,829x = 1,365,960 × 1,365,960
  4. Step 4: Simplify right side
    629,829x = 1,865,846,721,600
  5. Step 5: Solve for x
    x = 1,865,846,721,600/629,829
  6. Step 6: Final answer
    x = 2,962,465.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.