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Finding the Third Proportional to 484,917 and 1,053,770

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Solution

The third proportional to 484,917 and 1,053,770 is: 2,289,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,917 : 1,053,770 = 1,053,770 : x
  2. Step 2: Convert to fraction form
    484,917/1,053,770 = 1,053,770/x
  3. Step 3: Cross multiply
    484,917x = 1,053,770 × 1,053,770
  4. Step 4: Simplify right side
    484,917x = 1,110,431,212,900
  5. Step 5: Solve for x
    x = 1,110,431,212,900/484,917
  6. Step 6: Final answer
    x = 2,289,940.78

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Why These Related Problems?

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