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Finding the Third Proportional to 585,749 and 1,278,904

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Solution

The third proportional to 585,749 and 1,278,904 is: 2,792,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,749 : 1,278,904 = 1,278,904 : x
  2. Step 2: Convert to fraction form
    585,749/1,278,904 = 1,278,904/x
  3. Step 3: Cross multiply
    585,749x = 1,278,904 × 1,278,904
  4. Step 4: Simplify right side
    585,749x = 1,635,595,441,216
  5. Step 5: Solve for x
    x = 1,635,595,441,216/585,749
  6. Step 6: Final answer
    x = 2,792,314.53

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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.