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Finding the Third Proportional to 3,012,800 and 4,214,026

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Solution

The third proportional to 3,012,800 and 4,214,026 is: 5,894,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,800 : 4,214,026 = 4,214,026 : x
  2. Step 2: Convert to fraction form
    3,012,800/4,214,026 = 4,214,026/x
  3. Step 3: Cross multiply
    3,012,800x = 4,214,026 × 4,214,026
  4. Step 4: Simplify right side
    3,012,800x = 17,758,015,128,676
  5. Step 5: Solve for x
    x = 17,758,015,128,676/3,012,800
  6. Step 6: Final answer
    x = 5,894,189.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.