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Finding the Third Proportional to 2,138,813 and 4,755,796

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Solution

The third proportional to 2,138,813 and 4,755,796 is: 10,574,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,813 : 4,755,796 = 4,755,796 : x
  2. Step 2: Convert to fraction form
    2,138,813/4,755,796 = 4,755,796/x
  3. Step 3: Cross multiply
    2,138,813x = 4,755,796 × 4,755,796
  4. Step 4: Simplify right side
    2,138,813x = 22,617,595,593,616
  5. Step 5: Solve for x
    x = 22,617,595,593,616/2,138,813
  6. Step 6: Final answer
    x = 10,574,835.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.