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Finding the Third Proportional to 793,228 and 1,743,920

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Solution

The third proportional to 793,228 and 1,743,920 is: 3,834,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,228 : 1,743,920 = 1,743,920 : x
  2. Step 2: Convert to fraction form
    793,228/1,743,920 = 1,743,920/x
  3. Step 3: Cross multiply
    793,228x = 1,743,920 × 1,743,920
  4. Step 4: Simplify right side
    793,228x = 3,041,256,966,400
  5. Step 5: Solve for x
    x = 3,041,256,966,400/793,228
  6. Step 6: Final answer
    x = 3,834,026.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.