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Finding the Third Proportional to 486,180 and 735,978

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Solution

The third proportional to 486,180 and 735,978 is: 1,114,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,180 : 735,978 = 735,978 : x
  2. Step 2: Convert to fraction form
    486,180/735,978 = 735,978/x
  3. Step 3: Cross multiply
    486,180x = 735,978 × 735,978
  4. Step 4: Simplify right side
    486,180x = 541,663,616,484
  5. Step 5: Solve for x
    x = 541,663,616,484/486,180
  6. Step 6: Final answer
    x = 1,114,121.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.