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Finding the Third Proportional to 1,247,814 and 2,554,629

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Solution

The third proportional to 1,247,814 and 2,554,629 is: 5,230,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,814 : 2,554,629 = 2,554,629 : x
  2. Step 2: Convert to fraction form
    1,247,814/2,554,629 = 2,554,629/x
  3. Step 3: Cross multiply
    1,247,814x = 2,554,629 × 2,554,629
  4. Step 4: Simplify right side
    1,247,814x = 6,526,129,327,641
  5. Step 5: Solve for x
    x = 6,526,129,327,641/1,247,814
  6. Step 6: Final answer
    x = 5,230,049.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.