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Finding the Third Proportional to 588,816 and 1,270,890

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Solution

The third proportional to 588,816 and 1,270,890 is: 2,743,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,816 : 1,270,890 = 1,270,890 : x
  2. Step 2: Convert to fraction form
    588,816/1,270,890 = 1,270,890/x
  3. Step 3: Cross multiply
    588,816x = 1,270,890 × 1,270,890
  4. Step 4: Simplify right side
    588,816x = 1,615,161,392,100
  5. Step 5: Solve for x
    x = 1,615,161,392,100/588,816
  6. Step 6: Final answer
    x = 2,743,066.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.