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Finding the Third Proportional to 1,184,996 and 2,549,821

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Solution

The third proportional to 1,184,996 and 2,549,821 is: 5,486,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,996 : 2,549,821 = 2,549,821 : x
  2. Step 2: Convert to fraction form
    1,184,996/2,549,821 = 2,549,821/x
  3. Step 3: Cross multiply
    1,184,996x = 2,549,821 × 2,549,821
  4. Step 4: Simplify right side
    1,184,996x = 6,501,587,132,041
  5. Step 5: Solve for x
    x = 6,501,587,132,041/1,184,996
  6. Step 6: Final answer
    x = 5,486,589.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.