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Finding the Third Proportional to 2,585,098 and 3,947,631

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Solution

The third proportional to 2,585,098 and 3,947,631 is: 6,028,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,098 : 3,947,631 = 3,947,631 : x
  2. Step 2: Convert to fraction form
    2,585,098/3,947,631 = 3,947,631/x
  3. Step 3: Cross multiply
    2,585,098x = 3,947,631 × 3,947,631
  4. Step 4: Simplify right side
    2,585,098x = 15,583,790,512,161
  5. Step 5: Solve for x
    x = 15,583,790,512,161/2,585,098
  6. Step 6: Final answer
    x = 6,028,317.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.