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Finding the Third Proportional to 2,079,010 and 3,110,019

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Solution

The third proportional to 2,079,010 and 3,110,019 is: 4,652,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079,010 : 3,110,019 = 3,110,019 : x
  2. Step 2: Convert to fraction form
    2,079,010/3,110,019 = 3,110,019/x
  3. Step 3: Cross multiply
    2,079,010x = 3,110,019 × 3,110,019
  4. Step 4: Simplify right side
    2,079,010x = 9,672,218,180,361
  5. Step 5: Solve for x
    x = 9,672,218,180,361/2,079,010
  6. Step 6: Final answer
    x = 4,652,319.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.