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Finding the Third Proportional to 2,159,728 and 4,726,256

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Solution

The third proportional to 2,159,728 and 4,726,256 is: 10,342,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,728 : 4,726,256 = 4,726,256 : x
  2. Step 2: Convert to fraction form
    2,159,728/4,726,256 = 4,726,256/x
  3. Step 3: Cross multiply
    2,159,728x = 4,726,256 × 4,726,256
  4. Step 4: Simplify right side
    2,159,728x = 22,337,495,777,536
  5. Step 5: Solve for x
    x = 22,337,495,777,536/2,159,728
  6. Step 6: Final answer
    x = 10,342,735.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.