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Finding the Third Proportional to 2,741,220 and 5,890,680

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Solution

The third proportional to 2,741,220 and 5,890,680 is: 12,658,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,220 : 5,890,680 = 5,890,680 : x
  2. Step 2: Convert to fraction form
    2,741,220/5,890,680 = 5,890,680/x
  3. Step 3: Cross multiply
    2,741,220x = 5,890,680 × 5,890,680
  4. Step 4: Simplify right side
    2,741,220x = 34,700,110,862,400
  5. Step 5: Solve for x
    x = 34,700,110,862,400/2,741,220
  6. Step 6: Final answer
    x = 12,658,637.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.