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Finding the Third Proportional to 2,315,838 and 5,027,796

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Solution

The third proportional to 2,315,838 and 5,027,796 is: 10,915,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315,838 : 5,027,796 = 5,027,796 : x
  2. Step 2: Convert to fraction form
    2,315,838/5,027,796 = 5,027,796/x
  3. Step 3: Cross multiply
    2,315,838x = 5,027,796 × 5,027,796
  4. Step 4: Simplify right side
    2,315,838x = 25,278,732,617,616
  5. Step 5: Solve for x
    x = 25,278,732,617,616/2,315,838
  6. Step 6: Final answer
    x = 10,915,587.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.