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Finding the Third Proportional to 484,942 and 1,053,824

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Solution

The third proportional to 484,942 and 1,053,824 is: 2,290,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,942 : 1,053,824 = 1,053,824 : x
  2. Step 2: Convert to fraction form
    484,942/1,053,824 = 1,053,824/x
  3. Step 3: Cross multiply
    484,942x = 1,053,824 × 1,053,824
  4. Step 4: Simplify right side
    484,942x = 1,110,545,022,976
  5. Step 5: Solve for x
    x = 1,110,545,022,976/484,942
  6. Step 6: Final answer
    x = 2,290,057.42

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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.