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Finding the Third Proportional to 585,762 and 1,278,930

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Solution

The third proportional to 585,762 and 1,278,930 is: 2,792,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,762 : 1,278,930 = 1,278,930 : x
  2. Step 2: Convert to fraction form
    585,762/1,278,930 = 1,278,930/x
  3. Step 3: Cross multiply
    585,762x = 1,278,930 × 1,278,930
  4. Step 4: Simplify right side
    585,762x = 1,635,661,944,900
  5. Step 5: Solve for x
    x = 1,635,661,944,900/585,762
  6. Step 6: Final answer
    x = 2,792,366.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.