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Finding the Third Proportional to 1,277,676 and 2,814,602.63

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Solution

The third proportional to 1,277,676 and 2,814,602.63 is: 6,200,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,676 : 2,814,602.63 = 2,814,602.63 : x
  2. Step 2: Convert to fraction form
    1,277,676/2,814,602.63 = 2,814,602.63/x
  3. Step 3: Cross multiply
    1,277,676x = 2,814,602.63 × 2,814,602.63
  4. Step 4: Simplify right side
    1,277,676x = 7,921,987,936,656.89
  5. Step 5: Solve for x
    x = 7,921,987,936,656.89/1,277,676
  6. Step 6: Final answer
    x = 6,200,310.51

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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.