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Finding the Third Proportional to 2,286,788 and 4,515,742

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Solution

The third proportional to 2,286,788 and 4,515,742 is: 8,917,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,788 : 4,515,742 = 4,515,742 : x
  2. Step 2: Convert to fraction form
    2,286,788/4,515,742 = 4,515,742/x
  3. Step 3: Cross multiply
    2,286,788x = 4,515,742 × 4,515,742
  4. Step 4: Simplify right side
    2,286,788x = 20,391,925,810,564
  5. Step 5: Solve for x
    x = 20,391,925,810,564/2,286,788
  6. Step 6: Final answer
    x = 8,917,278.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.