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Finding the Third Proportional to 585,744 and 1,278,894

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Solution

The third proportional to 585,744 and 1,278,894 is: 2,792,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,744 : 1,278,894 = 1,278,894 : x
  2. Step 2: Convert to fraction form
    585,744/1,278,894 = 1,278,894/x
  3. Step 3: Cross multiply
    585,744x = 1,278,894 × 1,278,894
  4. Step 4: Simplify right side
    585,744x = 1,635,569,863,236
  5. Step 5: Solve for x
    x = 1,635,569,863,236/585,744
  6. Step 6: Final answer
    x = 2,792,294.69

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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.