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Finding the Third Proportional to 626,880 and 1,378,160

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Solution

The third proportional to 626,880 and 1,378,160 is: 3,029,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,880 : 1,378,160 = 1,378,160 : x
  2. Step 2: Convert to fraction form
    626,880/1,378,160 = 1,378,160/x
  3. Step 3: Cross multiply
    626,880x = 1,378,160 × 1,378,160
  4. Step 4: Simplify right side
    626,880x = 1,899,324,985,600
  5. Step 5: Solve for x
    x = 1,899,324,985,600/626,880
  6. Step 6: Final answer
    x = 3,029,806.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.