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Finding the Third Proportional to 512,705 and 1,123,824

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Solution

The third proportional to 512,705 and 1,123,824 is: 2,463,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,705 : 1,123,824 = 1,123,824 : x
  2. Step 2: Convert to fraction form
    512,705/1,123,824 = 1,123,824/x
  3. Step 3: Cross multiply
    512,705x = 1,123,824 × 1,123,824
  4. Step 4: Simplify right side
    512,705x = 1,262,980,382,976
  5. Step 5: Solve for x
    x = 1,262,980,382,976/512,705
  6. Step 6: Final answer
    x = 2,463,366.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.