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Finding the Third Proportional to 1,277,680 and 2,814,610

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Solution

The third proportional to 1,277,680 and 2,814,610 is: 6,200,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,680 : 2,814,610 = 2,814,610 : x
  2. Step 2: Convert to fraction form
    1,277,680/2,814,610 = 2,814,610/x
  3. Step 3: Cross multiply
    1,277,680x = 2,814,610 × 2,814,610
  4. Step 4: Simplify right side
    1,277,680x = 7,922,029,452,100
  5. Step 5: Solve for x
    x = 7,922,029,452,100/1,277,680
  6. Step 6: Final answer
    x = 6,200,323.60

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