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Finding the Third Proportional to 2,947,544 and 4,324,620

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Solution

The third proportional to 2,947,544 and 4,324,620 is: 6,345,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,544 : 4,324,620 = 4,324,620 : x
  2. Step 2: Convert to fraction form
    2,947,544/4,324,620 = 4,324,620/x
  3. Step 3: Cross multiply
    2,947,544x = 4,324,620 × 4,324,620
  4. Step 4: Simplify right side
    2,947,544x = 18,702,338,144,400
  5. Step 5: Solve for x
    x = 18,702,338,144,400/2,947,544
  6. Step 6: Final answer
    x = 6,345,058.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.