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Finding the Third Proportional to 2,277,214 and 4,892,108

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Solution

The third proportional to 2,277,214 and 4,892,108 is: 10,509,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,214 : 4,892,108 = 4,892,108 : x
  2. Step 2: Convert to fraction form
    2,277,214/4,892,108 = 4,892,108/x
  3. Step 3: Cross multiply
    2,277,214x = 4,892,108 × 4,892,108
  4. Step 4: Simplify right side
    2,277,214x = 23,932,720,683,664
  5. Step 5: Solve for x
    x = 23,932,720,683,664/2,277,214
  6. Step 6: Final answer
    x = 10,509,649.37

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