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Finding the Third Proportional to 2,101,783 and 4,525,916

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Solution

The third proportional to 2,101,783 and 4,525,916 is: 9,745,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,783 : 4,525,916 = 4,525,916 : x
  2. Step 2: Convert to fraction form
    2,101,783/4,525,916 = 4,525,916/x
  3. Step 3: Cross multiply
    2,101,783x = 4,525,916 × 4,525,916
  4. Step 4: Simplify right side
    2,101,783x = 20,483,915,639,056
  5. Step 5: Solve for x
    x = 20,483,915,639,056/2,101,783
  6. Step 6: Final answer
    x = 9,745,970.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.