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Finding the Third Proportional to 1,291,620 and 2,815,749

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Solution

The third proportional to 1,291,620 and 2,815,749 is: 6,138,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,620 : 2,815,749 = 2,815,749 : x
  2. Step 2: Convert to fraction form
    1,291,620/2,815,749 = 2,815,749/x
  3. Step 3: Cross multiply
    1,291,620x = 2,815,749 × 2,815,749
  4. Step 4: Simplify right side
    1,291,620x = 7,928,442,431,001
  5. Step 5: Solve for x
    x = 7,928,442,431,001/1,291,620
  6. Step 6: Final answer
    x = 6,138,370.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.