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Finding the Third Proportional to 926,780 and 2,165,218

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Solution

The third proportional to 926,780 and 2,165,218 is: 5,058,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,780 : 2,165,218 = 2,165,218 : x
  2. Step 2: Convert to fraction form
    926,780/2,165,218 = 2,165,218/x
  3. Step 3: Cross multiply
    926,780x = 2,165,218 × 2,165,218
  4. Step 4: Simplify right side
    926,780x = 4,688,168,987,524
  5. Step 5: Solve for x
    x = 4,688,168,987,524/926,780
  6. Step 6: Final answer
    x = 5,058,556.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.