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Finding the Third Proportional to 2,150,947 and 4,681,217

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Solution

The third proportional to 2,150,947 and 4,681,217 is: 10,187,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,947 : 4,681,217 = 4,681,217 : x
  2. Step 2: Convert to fraction form
    2,150,947/4,681,217 = 4,681,217/x
  3. Step 3: Cross multiply
    2,150,947x = 4,681,217 × 4,681,217
  4. Step 4: Simplify right side
    2,150,947x = 21,913,792,601,089
  5. Step 5: Solve for x
    x = 21,913,792,601,089/2,150,947
  6. Step 6: Final answer
    x = 10,187,974.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.