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Finding the Third Proportional to 611,920 and 1,342,040

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Solution

The third proportional to 611,920 and 1,342,040 is: 2,943,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,920 : 1,342,040 = 1,342,040 : x
  2. Step 2: Convert to fraction form
    611,920/1,342,040 = 1,342,040/x
  3. Step 3: Cross multiply
    611,920x = 1,342,040 × 1,342,040
  4. Step 4: Simplify right side
    611,920x = 1,801,071,361,600
  5. Step 5: Solve for x
    x = 1,801,071,361,600/611,920
  6. Step 6: Final answer
    x = 2,943,311.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.