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Finding the Third Proportional to 585,758 and 1,278,922

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Solution

The third proportional to 585,758 and 1,278,922 is: 2,792,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,758 : 1,278,922 = 1,278,922 : x
  2. Step 2: Convert to fraction form
    585,758/1,278,922 = 1,278,922/x
  3. Step 3: Cross multiply
    585,758x = 1,278,922 × 1,278,922
  4. Step 4: Simplify right side
    585,758x = 1,635,641,482,084
  5. Step 5: Solve for x
    x = 1,635,641,482,084/585,758
  6. Step 6: Final answer
    x = 2,792,350.22

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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.