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Finding the Third Proportional to 588,816 and 1,277,208

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Solution

The third proportional to 588,816 and 1,277,208 is: 2,770,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,816 : 1,277,208 = 1,277,208 : x
  2. Step 2: Convert to fraction form
    588,816/1,277,208 = 1,277,208/x
  3. Step 3: Cross multiply
    588,816x = 1,277,208 × 1,277,208
  4. Step 4: Simplify right side
    588,816x = 1,631,260,275,264
  5. Step 5: Solve for x
    x = 1,631,260,275,264/588,816
  6. Step 6: Final answer
    x = 2,770,407.52

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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.