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Finding the Third Proportional to 778,048 and 1,594,638

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Solution

The third proportional to 778,048 and 1,594,638 is: 3,268,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,048 : 1,594,638 = 1,594,638 : x
  2. Step 2: Convert to fraction form
    778,048/1,594,638 = 1,594,638/x
  3. Step 3: Cross multiply
    778,048x = 1,594,638 × 1,594,638
  4. Step 4: Simplify right side
    778,048x = 2,542,870,351,044
  5. Step 5: Solve for x
    x = 2,542,870,351,044/778,048
  6. Step 6: Final answer
    x = 3,268,269.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.