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Finding the Third Proportional to 4,632,406 and 6,682,854

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Solution

The third proportional to 4,632,406 and 6,682,854 is: 9,640,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,406 : 6,682,854 = 6,682,854 : x
  2. Step 2: Convert to fraction form
    4,632,406/6,682,854 = 6,682,854/x
  3. Step 3: Cross multiply
    4,632,406x = 6,682,854 × 6,682,854
  4. Step 4: Simplify right side
    4,632,406x = 44,660,537,585,316
  5. Step 5: Solve for x
    x = 44,660,537,585,316/4,632,406
  6. Step 6: Final answer
    x = 9,640,894.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.