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Finding the Third Proportional to 644,920 and 1,342,160

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Solution

The third proportional to 644,920 and 1,342,160 is: 2,793,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,920 : 1,342,160 = 1,342,160 : x
  2. Step 2: Convert to fraction form
    644,920/1,342,160 = 1,342,160/x
  3. Step 3: Cross multiply
    644,920x = 1,342,160 × 1,342,160
  4. Step 4: Simplify right side
    644,920x = 1,801,393,465,600
  5. Step 5: Solve for x
    x = 1,801,393,465,600/644,920
  6. Step 6: Final answer
    x = 2,793,204.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.